91939942656 has 81 divisors (see below), whose sum is σ = 265127490901. Its totient is φ = 30641796096.

The previous prime is 91939942597. The next prime is 91939942687. The reversal of 91939942656 is 65624993919.

The square root of 91939942656 is 303216.

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

It can be written as a sum of positive squares in only one way, i.e., 49497350400 + 42442592256 = 222480^2 + 206016^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 91939942593 and 91939942602.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 14551210 + ... + 14557526.

Almost surely, 2^91939942656 is an apocalyptic number.

91939942656 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

91939942656 is the 303216-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91939942656

91939942656 is an abundant number, since it is smaller than the sum of its proper divisors (173187548245).

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

91939942656 is an frugal number, since it uses more digits than its factorization.

91939942656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12656 (or 6322 counting only the distinct ones).

The product of its digits is 28343520, while the sum is 63.

The spelling of 91939942656 in words is "ninety-one billion, nine hundred thirty-nine million, nine hundred forty-two thousand, six hundred fifty-six".