312356914321 has 9 divisors (see below), whose sum is σ = 314061232849. Its totient is φ = 310661803984.

The previous prime is 312356914319. The next prime is 312356914357. The reversal of 312356914321 is 123419653213.

The square root of 312356914321 is 558889.

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 591024721 + 311765889600 = 24311^2 + 558360^2 .

It is not a de Polignac number, because 312356914321 - 2¹ = 312356914319 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (312356914021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 110099715 + ... + 110102551.

Almost surely, 2^312356914321 is an apocalyptic number.

312356914321 is the 558889-th square number.

312356914321 is the 279445-th centered octagonal number.

It is an amenable number.

312356914321 is a deficient number, since it is larger than the sum of its proper divisors (1704318528).

312356914321 is an frugal number, since it uses more digits than its factorization.

312356914321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6068 (or 3034 counting only the distinct ones).

The product of its digits is 116640, while the sum is 40.

The spelling of 312356914321 in words is "three hundred twelve billion, three hundred fifty-six million, nine hundred fourteen thousand, three hundred twenty-one".