82816305704224 has 48 divisors (see below), whose sum is σ = 168700864865400. Its totient is φ = 39972217872384.

The previous prime is 82816305704173. The next prime is 82816305704233. The reversal of 82816305704224 is 42240750361828.

82816305704224 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 82441678467600 + 374627236624 = 9079740^2 + 612068^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4401489 + ... + 13601680.

Almost surely, 2^{82816305704224} is an apocalyptic number.

It is an amenable number.

82816305704224 is an abundant number, since it is smaller than the sum of its proper divisors (85884559161176).

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

82816305704224 is a wasteful number, since it uses less digits than its factorization.

82816305704224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18008165 (or 18008157 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 52.

The spelling of 82816305704224 in words is "eighty-two trillion, eight hundred sixteen billion, three hundred five million, seven hundred four thousand, two hundred twenty-four".