915394791572352 has 4096 divisors, whose sum is σ = 3648076185600000. Its totient is φ = 219441636311040.

The previous prime is 915394791572347. The next prime is 915394791572377. The reversal of 915394791572352 is 253275197493519.

915394791572352 is a `hidden beast` number, since 9 + 1 + 5 + 3 + 9 + 47 + 9 + 1 + 572 + 3 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 2085181757349 + ... + 2085181757787.

It is an arithmetic number, because the mean of its divisors is an integer number (890643600000).

Almost surely, 2^{915394791572352} is an apocalyptic number.

915394791572352 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 915394791572352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1824038092800000).

915394791572352 is an abundant number, since it is smaller than the sum of its proper divisors (2732681394027648).

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

915394791572352 is a wasteful number, since it uses less digits than its factorization.

915394791572352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 696 counting only the distinct ones).

The product of its digits is 642978000, while the sum is 72.

The spelling of 915394791572352 in words is "nine hundred fifteen trillion, three hundred ninety-four billion, seven hundred ninety-one million, five hundred seventy-two thousand, three hundred fifty-two".