312416632401 has 8 divisors (see below), whose sum is σ = 416760818880. Its totient is φ = 208175100432.

The previous prime is 312416632393. The next prime is 312416632469. The reversal of 312416632401 is 104236614213.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 312416632401 - 2³ = 312416632393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (312416432401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25656525 + ... + 25668698.

It is an arithmetic number, because the mean of its divisors is an integer number (52095102360).

Almost surely, 2^312416632401 is an apocalyptic number.

It is an amenable number.

312416632401 is a deficient number, since it is larger than the sum of its proper divisors (104344186479).

312416632401 is a wasteful number, since it uses less digits than its factorization.

312416632401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51327255.

The product of its (nonzero) digits is 20736, while the sum is 33.

The spelling of 312416632401 in words is "three hundred twelve billion, four hundred sixteen million, six hundred thirty-two thousand, four hundred one".