312414006561 has 32 divisors (see below), whose sum is σ = 420871127040. Its totient is φ = 206129168064.

The previous prime is 312414006511. The next prime is 312414006599. The reversal of 312414006561 is 165600414213.

It is not a de Polignac number, because 312414006561 - 2⁹ = 312414006049 is a prime.

It is a super-2 number, since 2×312414006561² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (312414006511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 190844635 + ... + 190846271.

It is an arithmetic number, because the mean of its divisors is an integer number (13152222720).

Almost surely, 2^312414006561 is an apocalyptic number.

It is an amenable number.

312414006561 is a deficient number, since it is larger than the sum of its proper divisors (108457120479).

312414006561 is a wasteful number, since it uses less digits than its factorization.

312414006561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3205.

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 312414006561 in words is "three hundred twelve billion, four hundred fourteen million, six thousand, five hundred sixty-one".