You can use a Document Property Content Control or Field
You would save your number as a Custom Document Property.
The simplest way to do this is to use one of the Document Property Content Controls found under Insert > Quick Parts > Document Property. This inserts a mapped Content Control in your document. You can copy that and the value will be the same in all copies in the document. If changed in one spot, it would appear elsewhere.
A field would look like this: { DocProperty PropertyName } Here is the Microsoft Reference page on this field. If you are using the Content Control, you do not need the field.
Here is my page on using Mapped Content Controls repurposing the Document Property Content Controls. Here is my summary of information about Content Controls in answer to another question.
More about having document content in headers.
Headers and Footers, if you need the information about them are another topic. Here is a link to my recap of Header and Footer Settings. Headings are not headers in Word. My page: What is the difference between headers and headings. I am assuming we are talking about headers. (Both the mapped Content Control and the DocProperty Field would work in headings as well.)
You can reflect document content using the Mapped Document Property Content Control. You should also look at the StyleRef field. You may have far more sections than you need. You can change what appears in headers/footers using that field without a section break. The previous link is to my page. Here is the Microsoft reference page on this field.
If we are, indeed, talking about Headings...
For headings, the use of a Mapped Content Control is superior because you do not have to use the F9 key to update it. This is automatic. A change in the property itself or in one of the controls will change it in all.
For headers, the field may work without manual updating, depending on your settings. The Content Control will update there as well.
If you are on a Mac, and want to use the mapped content controls, you are going to want to prepare your template on a Windows machine. Otherwise, you will need to code it using vba. Here are John Korchock's materials on this.