91516416192 has 448 divisors, whose sum is σ = 283888281600. Its totient is φ = 28883312640.

The previous prime is 91516416143. The next prime is 91516416209. The reversal of 91516416192 is 29161461519.

91516416192 is a `hidden beast` number, since 9 + 1 + 516 + 41 + 6 + 1 + 92 = 666.

Its product of digits (116640) is a multiple of the sum of its prime divisors (405).

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 63 ways as a sum of consecutive naturals, for example, 464550238 + ... + 464550434.

It is an arithmetic number, because the mean of its divisors is an integer number (633679200).

Almost surely, 2^91516416192 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 91516416192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141944140800).

91516416192 is an abundant number, since it is smaller than the sum of its proper divisors (192371865408).

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

91516416192 is a wasteful number, since it uses less digits than its factorization.

91516416192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 405 counting only the distinct ones).

The product of its digits is 116640, while the sum is 45.

The spelling of 91516416192 in words is "ninety-one billion, five hundred sixteen million, four hundred sixteen thousand, one hundred ninety-two".