91934456832 has 264 divisors, whose sum is σ = 274169513904. Its totient is φ = 29652811776.

The previous prime is 91934456777. The next prime is 91934456849. The reversal of 91934456832 is 23865443919.

91934456832 is a `hidden beast` number, since 9 + 1 + 9 + 3 + 44 + 568 + 32 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44779518 + ... + 44781570.

It is an arithmetic number, because the mean of its divisors is an integer number (1038520886).

Almost surely, 2^91934456832 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 91934456832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137084756952).

91934456832 is an abundant number, since it is smaller than the sum of its proper divisors (182235057072).

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

91934456832 is a wasteful number, since it uses less digits than its factorization.

91934456832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2235 (or 2214 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The spelling of 91934456832 in words is "ninety-one billion, nine hundred thirty-four million, four hundred fifty-six thousand, eight hundred thirty-two".