82497157344 has 720 divisors, whose sum is σ = 304338456576. Its totient is φ = 21794572800.

The previous prime is 82497157297. The next prime is 82497157373. The reversal of 82497157344 is 44375179428.

82497157344 is a `hidden beast` number, since 8 + 24 + 9 + 7 + 1 + 573 + 44 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 90556249 + ... + 90557159.

Almost surely, 2^82497157344 is an apocalyptic number.

82497157344 is a gapful number since it is divisible by the number (84) 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 82497157344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152169228288).

82497157344 is an abundant number, since it is smaller than the sum of its proper divisors (221841299232).

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

82497157344 is a wasteful number, since it uses less digits than its factorization.

82497157344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001 (or 977 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The spelling of 82497157344 in words is "eighty-two billion, four hundred ninety-seven million, one hundred fifty-seven thousand, three hundred forty-four".