91642050864 has 450 divisors, whose sum is σ = 334141855740. Its totient is φ = 24166501632.

The previous prime is 91642050833. The next prime is 91642050889. The reversal of 91642050864 is 46805024619.

91642050864 is a `hidden beast` number, since 9 + 1 + 64 + 20 + 508 + 64 = 666.

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 89 ways as a sum of consecutive naturals, for example, 10727907 + ... + 10736445.

Almost surely, 2^91642050864 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 91642050864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167070927870).

91642050864 is an abundant number, since it is smaller than the sum of its proper divisors (242499804876).

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

91642050864 is a wasteful number, since it uses less digits than its factorization.

91642050864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8599 (or 8564 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 91642050864 in words is "ninety-one billion, six hundred forty-two million, fifty thousand, eight hundred sixty-four".