91297148544 has 512 divisors, whose sum is σ = 320785920000. Its totient is φ = 25010270208.

The previous prime is 91297148513. The next prime is 91297148563. The reversal of 91297148544 is 44584179219.

91297148544 is a `hidden beast` number, since 9 + 1 + 2 + 97 + 1 + 4 + 8 + 544 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 125580309 + ... + 125581035.

It is an arithmetic number, because the mean of its divisors is an integer number (626535000).

Almost surely, 2^91297148544 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 91297148544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160392960000).

91297148544 is an abundant number, since it is smaller than the sum of its proper divisors (229488771456).

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

91297148544 is a wasteful number, since it uses less digits than its factorization.

91297148544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 965 (or 947 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The spelling of 91297148544 in words is "ninety-one billion, two hundred ninety-seven million, one hundred forty-eight thousand, five hundred forty-four".