13096416157344 has 192 divisors, whose sum is σ = 41912335180800. Its totient is φ = 3953634886656.

The previous prime is 13096416157343. The next prime is 13096416157469. The reversal of 13096416157344 is 44375161469031.

13096416157344 is a `hidden beast` number, since 1 + 3 + 0 + 9 + 6 + 4 + 1 + 61 + 573 + 4 + 4 = 666.

It is a super-2 number, since 2×13096416157344² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (13096416157343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10404624 + ... + 11595215.

It is an arithmetic number, because the mean of its divisors is an integer number (218293412400).

Almost surely, 2^{13096416157344} is an apocalyptic number.

It is an amenable number.

13096416157344 is an abundant number, since it is smaller than the sum of its proper divisors (28815919023456).

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

13096416157344 is a wasteful number, since it uses less digits than its factorization.

13096416157344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21999924 (or 21999910 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 13096416157344 in words is "thirteen trillion, ninety-six billion, four hundred sixteen million, one hundred fifty-seven thousand, three hundred forty-four".