Word that denotes number of numbers by which a number can be divided without a remainder

Is there a word that denotes the number of numbers by which a number can be divided without a remainder?

That is,

• for 12 it is 4 (because 12 can be divided by 2, 3, 4, 6),
• and for 14 it is 2 (because 14 can be divided only by 2 and 7).

Is there a word for this it?

The number of divisors function, sometimes denoted $\tau$ (tau) includes $1$ and $n$ as divisors also. So for instance $\tau(12)=6$ (divisors are $1, 2, 3, 4, 6, 12$.)

This "it" is called the number of factors or divisors of a number.

As said in the comments however, I don't think there is a singular word that describes this.