312818727204 has 135 divisors (see below), whose sum is σ = 825604564785. Its totient is φ = 99868965120.

The previous prime is 312818727191. The next prime is 312818727229. The reversal of 312818727204 is 402727818213.

The square root of 312818727204 is 559302.

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., 140467544100 + 172351183104 = 374790^2 + 415152^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 312818727204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3224935284 + ... + 3224935380.

Almost surely, 2^312818727204 is an apocalyptic number.

312818727204 is the 559302-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312818727204

312818727204 is an abundant number, since it is smaller than the sum of its proper divisors (512785837581).

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

312818727204 is an frugal number, since it uses more digits than its factorization.

312818727204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 312818727204 in words is "three hundred twelve billion, eight hundred eighteen million, seven hundred twenty-seven thousand, two hundred four".