91147916160 has 384 divisors, whose sum is σ = 371317340160. Its totient is φ = 20161474560.

The previous prime is 91147916147. The next prime is 91147916177. The reversal of 91147916160 is 6161974119.

91147916160 is a `hidden beast` number, since 9 + 1 + 1 + 479 + 16 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1213459 + ... + 1286381.

It is an arithmetic number, because the mean of its divisors is an integer number (966972240).

Almost surely, 2^91147916160 is an apocalyptic number.

91147916160 is a gapful number since it is divisible by the number (90) 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 91147916160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185658670080).

91147916160 is an abundant number, since it is smaller than the sum of its proper divisors (280169424000).

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

91147916160 is a wasteful number, since it uses less digits than its factorization.

91147916160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72986 (or 72971 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The spelling of 91147916160 in words is "ninety-one billion, one hundred forty-seven million, nine hundred sixteen thousand, one hundred sixty".