91514142720 has 1632 divisors, whose sum is σ = 439693922304. Its totient is φ = 16986931200.

The previous prime is 91514142703. The next prime is 91514142743. The reversal of 91514142720 is 2724141519.

91514142720 is a `hidden beast` number, since 91 + 5 + 141 + 427 + 2 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 2952069105 + ... + 2952069135.

Almost surely, 2^91514142720 is an apocalyptic number.

91514142720 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 91514142720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219846961152).

91514142720 is an abundant number, since it is smaller than the sum of its proper divisors (348179779584).

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

91514142720 is a wasteful number, since it uses less digits than its factorization.

91514142720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 91514142720 in words is "ninety-one billion, five hundred fourteen million, one hundred forty-two thousand, seven hundred twenty".