91548382464 has 540 divisors, whose sum is σ = 346459373568. Its totient is φ = 23775897600.

The previous prime is 91548382451. The next prime is 91548382517. The reversal of 91548382464 is 46428384519.

91548382464 is a `hidden beast` number, since 9 + 1 + 548 + 38 + 2 + 4 + 64 = 666.

It is a super-2 number, since 2×91548382464² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 91548382464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 11172609 + ... + 11180799.

Almost surely, 2^91548382464 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 91548382464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173229686784).

91548382464 is an abundant number, since it is smaller than the sum of its proper divisors (254910991104).

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

91548382464 is a wasteful number, since it uses less digits than its factorization.

91548382464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8244 (or 8214 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The spelling of 91548382464 in words is "ninety-one billion, five hundred forty-eight million, three hundred eighty-two thousand, four hundred sixty-four".