91032544656 has 375 divisors, whose sum is σ = 289927584661. Its totient is φ = 27574428672.

The previous prime is 91032544649. The next prime is 91032544657. The reversal of 91032544656 is 65644523019.

The square root of 91032544656 is 301716.

It is a perfect power (a square), and thus also a powerful number.

91032544656 is a `hidden beast` number, since 9 + 10 + 32 + 544 + 65 + 6 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 2609575056 + 88422969600 = 51084^2 + 297360^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (91032544657) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 3139053250 + ... + 3139053278.

Almost surely, 2^91032544656 is an apocalyptic number.

91032544656 is the 301716-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91032544656

91032544656 is an abundant number, since it is smaller than the sum of its proper divisors (198895040005).

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

91032544656 is an frugal number, since it uses more digits than its factorization.

91032544656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 91032544656 in words is "ninety-one billion, thirty-two million, five hundred forty-four thousand, six hundred fifty-six".