83342256123204 has 81 divisors (see below), whose sum is σ = 228124662976119. Its totient is φ = 25643552014080.

The previous prime is 83342256123193. The next prime is 83342256123211. The reversal of 83342256123204 is 40232165224338.

The square root of 83342256123204 is 9129198.

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

83342256123204 is a `hidden beast` number, since 8 + 3 + 3 + 4 + 2 + 2 + 5 + 612 + 3 + 20 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8660719268100 + 74681536855104 = 2942910^2 + 8641848^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 83342256123204.

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, 712018924 + ... + 712135964.

Almost surely, 2^{83342256123204} is an apocalyptic number.

83342256123204 is the 9129198-th square number.

It is an amenable number.

83342256123204 is an abundant number, since it is smaller than the sum of its proper divisors (144782406852915).

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

83342256123204 is an equidigital number, since it uses as much as digits as its factorization.

83342256123204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234118 (or 117059 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 83342256123204 in words is "eighty-three trillion, three hundred forty-two billion, two hundred fifty-six million, one hundred twenty-three thousand, two hundred four".