91904979456 has 240 divisors, whose sum is σ = 287036253504. Its totient is φ = 29302124544.

The previous prime is 91904979443. The next prime is 91904979461. The reversal of 91904979456 is 65497940919.

91904979456 is a `hidden beast` number, since 9 + 1 + 9 + 0 + 497 + 94 + 56 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 91904979393 and 91904979402.

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 23 ways as a sum of consecutive naturals, for example, 2845510 + ... + 2877626.

Almost surely, 2^91904979456 is an apocalyptic number.

91904979456 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 91904979456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143518126752).

91904979456 is an abundant number, since it is smaller than the sum of its proper divisors (195131274048).

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

91904979456 is an equidigital number, since it uses as much as digits as its factorization.

91904979456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32173 (or 32145 counting only the distinct ones).

The product of its (nonzero) digits is 22044960, while the sum is 63.

The spelling of 91904979456 in words is "ninety-one billion, nine hundred four million, nine hundred seventy-nine thousand, four hundred fifty-six".