312534666304 has 189 divisors, whose sum is σ = 737317537173. Its totient is φ = 131058740736.

The previous prime is 312534666233. The next prime is 312534666317. The reversal of 312534666304 is 403666435213.

The square root of 312534666304 is 559048.

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., 36615587904 + 275919078400 = 191352^2 + 525280^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2097548022 + ... + 2097548170.

Almost surely, 2^312534666304 is an apocalyptic number.

312534666304 is the 559048-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312534666304

312534666304 is an abundant number, since it is smaller than the sum of its proper divisors (424782870869).

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

312534666304 is an frugal number, since it uses more digits than its factorization.

312534666304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 43.

The spelling of 312534666304 in words is "three hundred twelve billion, five hundred thirty-four million, six hundred sixty-six thousand, three hundred four".