312461813932001 has 8 divisors (see below), whose sum is σ = 312534656258400. Its totient is φ = 312388975457920.

The previous prime is 312461813931997. The next prime is 312461813932003. The reversal of 312461813932001 is 100239318164213.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 312461813932001 - 2² = 312461813931997 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (312461813932003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 164584910 + ... + 166472568.

It is an arithmetic number, because the mean of its divisors is an integer number (39066832032300).

Almost surely, 2^{312461813932001} is an apocalyptic number.

It is an amenable number.

312461813932001 is a deficient number, since it is larger than the sum of its proper divisors (72842326399).

312461813932001 is a wasteful number, since it uses less digits than its factorization.

312461813932001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1926159.

The product of its (nonzero) digits is 186624, while the sum is 44.

The spelling of 312461813932001 in words is "three hundred twelve trillion, four hundred sixty-one billion, eight hundred thirteen million, nine hundred thirty-two thousand, one".