91587315456 has 864 divisors, whose sum is σ = 347485232640. Its totient is φ = 22526263296.

The previous prime is 91587315451. The next prime is 91587315481. The reversal of 91587315456 is 65451378519.

91587315456 is a `hidden beast` number, since 9 + 1 + 587 + 3 + 1 + 5 + 4 + 56 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91587315451) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 330639990 + ... + 330640266.

Almost surely, 2^91587315456 is an apocalyptic number.

91587315456 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91587315456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173742616320).

91587315456 is an abundant number, since it is smaller than the sum of its proper divisors (255897917184).

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

91587315456 is a wasteful number, since it uses less digits than its factorization.

91587315456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 404 counting only the distinct ones).

The product of its digits is 4536000, while the sum is 54.

The spelling of 91587315456 in words is "ninety-one billion, five hundred eighty-seven million, three hundred fifteen thousand, four hundred fifty-six".