915311013316128 has 432 divisors, whose sum is σ = 3113694243354240. Its totient is φ = 252790141593600.

The previous prime is 915311013316111. The next prime is 915311013316157. The reversal of 915311013316128 is 821613310113519.

915311013316128 is a `hidden beast` number, since 9 + 1 + 5 + 3 + 1 + 10 + 13 + 3 + 1 + 612 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31475658 + ... + 53116278.

It is an arithmetic number, because the mean of its divisors is an integer number (7207625563320).

Almost surely, 2^{915311013316128} 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 915311013316128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1556847121677120).

915311013316128 is an abundant number, since it is smaller than the sum of its proper divisors (2198383230038112).

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

915311013316128 is a wasteful number, since it uses less digits than its factorization.

915311013316128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21640753 (or 21640729 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The spelling of 915311013316128 in words is "nine hundred fifteen trillion, three hundred eleven billion, thirteen million, three hundred sixteen thousand, one hundred twenty-eight".