312792999841 has 27 divisors (see below), whose sum is σ = 367731726201. Its totient is φ = 265286163744.

The previous prime is 312792999833. The next prime is 312792999847. The reversal of 312792999841 is 148999297213.

The square root of 312792999841 is 559279.

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

It can be written as a sum of positive squares in 4 ways, for example, as 173443096225 + 139349903616 = 416465^2 + 373296^2 .

It is not a de Polignac number, because 312792999841 - 2³ = 312792999833 is a prime.

It is not an unprimeable number, because it can be changed into a prime (312792999847) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 426729511 + ... + 426730243.

It is an arithmetic number, because the mean of its divisors is an integer number (13619693563).

Almost surely, 2^312792999841 is an apocalyptic number.

312792999841 is the 559279-th square number.

312792999841 is the 279640-th centered octagonal number.

It is an amenable number.

312792999841 is a deficient number, since it is larger than the sum of its proper divisors (54938726360).

312792999841 is an frugal number, since it uses more digits than its factorization.

312792999841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1698 (or 849 counting only the distinct ones).

The product of its digits is 17635968, while the sum is 64.

Multiplying 312792999841 by its sum of digits (64), we get a square (20018751989824 = 4474232²).

The spelling of 312792999841 in words is "three hundred twelve billion, seven hundred ninety-two million, nine hundred ninety-nine thousand, eight hundred forty-one".