91008363264 has 432 divisors, whose sum is σ = 319436974080. Its totient is φ = 22736609280.

The previous prime is 91008363247. The next prime is 91008363293. The reversal of 91008363264 is 46236380019.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9290209 + ... + 9299999.

It is an arithmetic number, because the mean of its divisors is an integer number (739437440).

Almost surely, 2^91008363264 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 91008363264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159718487040).

91008363264 is an abundant number, since it is smaller than the sum of its proper divisors (228428610816).

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

91008363264 is a wasteful number, since it uses less digits than its factorization.

91008363264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9856 (or 9835 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The spelling of 91008363264 in words is "ninety-one billion, eight million, three hundred sixty-three thousand, two hundred sixty-four".