A number is also a concept, and there are number systems that include infinities (e.g. https://en.wikipedia.org/wiki/Surreal_number https://en.wikipedia.org/wik

A number is also a concept, and there are number systems that include infinities (e.g. https://en.wikipedia.org/wiki/Surreal_number https://en.wikipedia.org/wiki/Surreal_number). It all depends on your definitions/axioms. So in a sense there is not full agreement on what a number is, but several sets numbers are generally agreed upon: integers, rationals, computables, etc.