15113649291264 has 768 divisors, whose sum is σ = 47551357152000. Its totient is φ = 4609403781120.

The previous prime is 15113649291173. The next prime is 15113649291331. The reversal of 15113649291264 is 46219294631151.

15113649291264 is a `hidden beast` number, since 1 + 5 + 1 + 1 + 3 + 6 + 492 + 91 + 2 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a self number, because there is not a number n which added to its sum of digits gives 15113649291264.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55769923449 + ... + 55769923719.

It is an arithmetic number, because the mean of its divisors is an integer number (61915829625).

Almost surely, 2^{15113649291264} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15113649291264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23775678576000).

15113649291264 is an abundant number, since it is smaller than the sum of its proper divisors (32437707860736).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

15113649291264 is a wasteful number, since it uses less digits than its factorization.

15113649291264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 601 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The spelling of 15113649291264 in words is "fifteen trillion, one hundred thirteen billion, six hundred forty-nine million, two hundred ninety-one thousand, two hundred sixty-four".