312399391329 has 63 divisors (see below), whose sum is σ = 475016030433. Its totient is φ = 205358722632.

The previous prime is 312399391303. The next prime is 312399391331. The reversal of 312399391329 is 923193993213.

The square root of 312399391329 is 558927.

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

It is not a de Polignac number, because 312399391329 - 2⁷ = 312399391201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (312399391399) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 1916560602 + ... + 1916560764.

It is an arithmetic number, because the mean of its divisors is an integer number (7539936991).

Almost surely, 2^312399391329 is an apocalyptic number.

312399391329 is the 558927-th square number.

312399391329 is the 279464-th centered octagonal number.

It is an amenable number.

312399391329 is a deficient number, since it is larger than the sum of its proper divisors (162616639104).

312399391329 is an frugal number, since it uses more digits than its factorization.

312399391329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 293 counting only the distinct ones).

The product of its digits is 2125764, while the sum is 54.

The spelling of 312399391329 in words is "three hundred twelve billion, three hundred ninety-nine million, three hundred ninety-one thousand, three hundred twenty-nine".