312554858112001 has 4 divisors (see below), whose sum is σ = 312715060501504. Its totient is φ = 312394655722500.

The previous prime is 312554858111933. The next prime is 312554858112019. The reversal of 312554858112001 is 100211858455213.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 312554858112001 - 2³⁷ = 312417419158529 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (312554858712001) 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 3 ways as a sum of consecutive naturals, for example, 80101191825 + ... + 80101195726.

It is an arithmetic number, because the mean of its divisors is an integer number (78178765125376).

Almost surely, 2^{312554858112001} is an apocalyptic number.

It is an amenable number.

312554858112001 is a deficient number, since it is larger than the sum of its proper divisors (160202389503).

312554858112001 is a wasteful number, since it uses less digits than its factorization.

312554858112001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160202389502.

The product of its (nonzero) digits is 384000, while the sum is 46.

The spelling of 312554858112001 in words is "three hundred twelve trillion, five hundred fifty-four billion, eight hundred fifty-eight million, one hundred twelve thousand, one".