91006451712 has 360 divisors, whose sum is σ = 301996400160. Its totient is φ = 26117406720.

The previous prime is 91006451663. The next prime is 91006451749. The reversal of 91006451712 is 21715460019.

91006451712 is a `hidden beast` number, since 9 + 1 + 0 + 0 + 645 + 1 + 7 + 1 + 2 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 30816828 + ... + 30819780.

Almost surely, 2^91006451712 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 91006451712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150998200080).

91006451712 is an abundant number, since it is smaller than the sum of its proper divisors (210989948448).

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

91006451712 is a wasteful number, since it uses less digits than its factorization.

91006451712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3017 (or 2988 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 91006451712 in words is "ninety-one billion, six million, four hundred fifty-one thousand, seven hundred twelve".