91712406816 has 144 divisors (see below), whose sum is σ = 279192146688. Its totient is φ = 29584569600.

The previous prime is 91712406733. The next prime is 91712406859. The reversal of 91712406816 is 61860421719.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×91712406816² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50826 + ... + 431286.

It is an arithmetic number, because the mean of its divisors is an integer number (1938834352).

Almost surely, 2^91712406816 is an apocalyptic number.

91712406816 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 91712406816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139596073344).

91712406816 is an abundant number, since it is smaller than the sum of its proper divisors (187479739872).

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

91712406816 is a wasteful number, since it uses less digits than its factorization.

91712406816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380517 (or 380497 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 91712406816 in words is "ninety-one billion, seven hundred twelve million, four hundred six thousand, eight hundred sixteen".