915653394432 has 864 divisors, whose sum is σ = 3227924044800. Its totient is φ = 249707888640.

The previous prime is 915653394421. The next prime is 915653394437. The reversal of 915653394432 is 234493356519.

915653394432 is a `hidden beast` number, since 9 + 1 + 565 + 3 + 3 + 9 + 44 + 32 = 666.

It is a super-2 number, since 2×915653394432² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (915653394437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12543197148 + ... + 12543197220.

It is an arithmetic number, because the mean of its divisors is an integer number (3736023200).

Almost surely, 2^915653394432 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 915653394432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1613962022400).

915653394432 is an abundant number, since it is smaller than the sum of its proper divisors (2312270650368).

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

915653394432 is an frugal number, since it uses more digits than its factorization.

915653394432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 116 counting only the distinct ones).

The product of its digits is 10497600, while the sum is 54.

The spelling of 915653394432 in words is "nine hundred fifteen billion, six hundred fifty-three million, three hundred ninety-four thousand, four hundred thirty-two".