82531814976 has 280 divisors, whose sum is σ = 263961417720. Its totient is φ = 25347022848.

The previous prime is 82531814947. The next prime is 82531814987. The reversal of 82531814976 is 67941813528.

82531814976 is a `hidden beast` number, since 8 + 2 + 531 + 8 + 14 + 97 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2994278400 + 79537536576 = 54720^2 + 282024^2 .

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

Its product of digits (2903040) is a multiple of the sum of its prime divisors (2304).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 57754230 + ... + 57755658.

It is an arithmetic number, because the mean of its divisors is an integer number (942719349).

Almost surely, 2^82531814976 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 82531814976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131980708860).

82531814976 is an abundant number, since it is smaller than the sum of its proper divisors (181429602744).

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

82531814976 is a wasteful number, since it uses less digits than its factorization.

82531814976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2323 (or 2304 counting only the distinct ones).

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

The spelling of 82531814976 in words is "eighty-two billion, five hundred thirty-one million, eight hundred fourteen thousand, nine hundred seventy-six".