91288682496 has 360 divisors, whose sum is σ = 300319778304. Its totient is φ = 26449674240.

The previous prime is 91288682489. The next prime is 91288682509. The reversal of 91288682496 is 69428688219.

91288682496 is a `hidden beast` number, since 9 + 1 + 2 + 88 + 68 + 2 + 496 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37305145 + ... + 37307591.

Almost surely, 2^91288682496 is an apocalyptic number.

91288682496 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 91288682496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150159889152).

91288682496 is an abundant number, since it is smaller than the sum of its proper divisors (209031095808).

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

91288682496 is a wasteful number, since it uses less digits than its factorization.

91288682496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2515 (or 2486 counting only the distinct ones).

The product of its digits is 23887872, while the sum is 63.

The spelling of 91288682496 in words is "ninety-one billion, two hundred eighty-eight million, six hundred eighty-two thousand, four hundred ninety-six".