91249507008 has 336 divisors, whose sum is σ = 301560829440. Its totient is φ = 26090035200.

The previous prime is 91249506919. The next prime is 91249507009. The reversal of 91249507008 is 80070594219.

91249507008 is a `hidden beast` number, since 91 + 2 + 495 + 0 + 70 + 0 + 8 = 666.

It is a super-2 number, since 2×91249507008² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (91249507009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32622666 + ... + 32625462.

Almost surely, 2^91249507008 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 91249507008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150780414720).

91249507008 is an abundant number, since it is smaller than the sum of its proper divisors (210311322432).

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

91249507008 is a wasteful number, since it uses less digits than its factorization.

91249507008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3116 (or 3103 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 91249507008 in words is "ninety-one billion, two hundred forty-nine million, five hundred seven thousand, eight".