82304724544 has 189 divisors, whose sum is σ = 195914030193. Its totient is φ = 34206230016.

The previous prime is 82304724539. The next prime is 82304724577. The reversal of 82304724544 is 44542740328.

It is a happy number.

The square root of 82304724544 is 286888.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 57365998144 + 24938726400 = 239512^2 + 157920^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 82304724544.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 755089162 + ... + 755089270.

Almost surely, 2^82304724544 is an apocalyptic number.

82304724544 is the 286888-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82304724544

82304724544 is an abundant number, since it is smaller than the sum of its proper divisors (113609305649).

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

82304724544 is an equidigital number, since it uses as much as digits as its factorization.

82304724544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 43.

The spelling of 82304724544 in words is "eighty-two billion, three hundred four million, seven hundred twenty-four thousand, five hundred forty-four".