312416432401 has 2 divisors, whose sum is σ = 312416432402. Its totient is φ = 312416432400.

The previous prime is 312416432369. The next prime is 312416432479. The reversal of 312416432401 is 104234614213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 278514785025 + 33901647376 = 527745^2 + 184124^2 .

It is a cyclic number.

It is not a de Polignac number, because 312416432401 - 2⁵ = 312416432369 is a prime.

It is not a weakly prime, because it can be changed into another prime (312416432201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156208216200 + 156208216201.

It is an arithmetic number, because the mean of its divisors is an integer number (156208216201).

Almost surely, 2^312416432401 is an apocalyptic number.

It is an amenable number.

312416432401 is a deficient number, since it is larger than the sum of its proper divisors (1).

312416432401 is an equidigital number, since it uses as much as digits as its factorization.

312416432401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 13824, while the sum is 31.

The spelling of 312416432401 in words is "three hundred twelve billion, four hundred sixteen million, four hundred thirty-two thousand, four hundred one".