11680646144753 has 24 divisors (see below), whose sum is σ = 12104014923000. Its totient is φ = 11268021972480.

The previous prime is 11680646144723. The next prime is 11680646144767. The reversal of 11680646144753 is 35744164608611.

It can be written as a sum of positive squares in 12 ways, for example, as 11545099204864 + 135546939889 = 3397808^2 + 368167^2 .

It is a de Polignac number, because none of the positive numbers 2^k-11680646144753 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11680646144723) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 585515423 + ... + 585535371.

It is an arithmetic number, because the mean of its divisors is an integer number (504333955125).

Almost surely, 2^{11680646144753} is an apocalyptic number.

It is an amenable number.

11680646144753 is a deficient number, since it is larger than the sum of its proper divisors (423368778247).

11680646144753 is an equidigital number, since it uses as much as digits as its factorization.

11680646144753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23093 (or 23032 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 56.

The spelling of 11680646144753 in words is "eleven trillion, six hundred eighty billion, six hundred forty-six million, one hundred forty-four thousand, seven hundred fifty-three".