312668852224 has 39 divisors (see below), whose sum is σ = 625332942237. Its totient is φ = 156316532736.

The previous prime is 312668852207. The next prime is 312668852291. The reversal of 312668852224 is 422258866213.

The square root of 312668852224 is 559168.

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., 118336000000 + 194332852224 = 344000^2 + 440832^2 .

It is a super-2 number, since 2×312668852224² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 35782384 + ... + 35791120.

Almost surely, 2^312668852224 is an apocalyptic number.

312668852224 is the 559168-th square number.

It is an amenable number.

312668852224 is a deficient number, since it is larger than the sum of its proper divisors (312664090013).

312668852224 is an frugal number, since it uses more digits than its factorization.

312668852224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17498 (or 8739 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 49.

Multiplying 312668852224 by its sum of digits (49), we get a square (15320773758976 = 3914176²).

The spelling of 312668852224 in words is "three hundred twelve billion, six hundred sixty-eight million, eight hundred fifty-two thousand, two hundred twenty-four".