856239310224 has 135 divisors (see below), whose sum is σ = 2482694239233. Its totient is φ = 275467635072.

The previous prime is 856239310219. The next prime is 856239310249. The reversal of 856239310224 is 422013932658.

The square root of 856239310224 is 925332.

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

856239310224 is a `hidden beast` number, since 8 + 5 + 623 + 9 + 3 + 10 + 2 + 2 + 4 = 666.

856239310224 is digitally balanced in base 2, 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 only one way, i.e., 448991124624 + 407248185600 = 670068^2 + 638160^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 856239310224.

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, 322014207 + ... + 322016865.

Almost surely, 2^856239310224 is an apocalyptic number.

856239310224 is the 925332-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 856239310224

856239310224 is an abundant number, since it is smaller than the sum of its proper divisors (1626454929009).

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

856239310224 is an equidigital number, since it uses as much as digits as its factorization.

856239310224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5390 (or 2693 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 856239310224 in words is "eight hundred fifty-six billion, two hundred thirty-nine million, three hundred ten thousand, two hundred twenty-four".