91601296416 has 192 divisors, whose sum is σ = 321408460800. Its totient is φ = 24794304768.

The previous prime is 91601296393. The next prime is 91601296439. The reversal of 91601296416 is 61469210619.

It is a happy number.

91601296416 is a `hidden beast` number, since 9 + 1 + 601 + 29 + 6 + 4 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (91601296393) and next prime (91601296439).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 283660 + ... + 513483.

It is an arithmetic number, because the mean of its divisors is an integer number (1674002400).

Almost surely, 2^91601296416 is an apocalyptic number.

91601296416 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

91601296416 is an abundant number, since it is smaller than the sum of its proper divisors (229807164384).

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

91601296416 is a wasteful number, since it uses less digits than its factorization.

91601296416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797188 (or 797174 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 91601296416 in words is "ninety-one billion, six hundred one million, two hundred ninety-six thousand, four hundred sixteen".