88496911522656 has 768 divisors, whose sum is σ = 331310598635520. Its totient is φ = 22354031738880.

The previous prime is 88496911522627. The next prime is 88496911522667. The reversal of 88496911522656 is 65622511969488.

88496911522656 is a `hidden beast` number, since 8 + 8 + 4 + 9 + 6 + 91 + 1 + 522 + 6 + 5 + 6 = 666.

88496911522656 is digitally balanced in base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.

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 127 ways as a sum of consecutive naturals, for example, 236235210 + ... + 236609526.

It is an arithmetic number, because the mean of its divisors is an integer number (431394008640).

Almost surely, 2^{88496911522656} 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 88496911522656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165655299317760).

88496911522656 is an abundant number, since it is smaller than the sum of its proper divisors (242813687112864).

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

88496911522656 is a wasteful number, since it uses less digits than its factorization.

88496911522656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374484 (or 374470 counting only the distinct ones).

The product of its digits is 447897600, while the sum is 72.

The spelling of 88496911522656 in words is "eighty-eight trillion, four hundred ninety-six billion, nine hundred eleven million, five hundred twenty-two thousand, six hundred fifty-six".