214312313657 has 8 divisors (see below), whose sum is σ = 230932948680. Its totient is φ = 197710974720.

The previous prime is 214312313623. The next prime is 214312313701. The reversal of 214312313657 is 756313213412.

It can be written as a sum of positive squares in 4 ways, for example, as 9238285456 + 205074028201 = 96116^2 + 452851^2 .

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 214312313657 - 2¹⁴ = 214312297273 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 214312313657.

It is not an unprimeable number, because it can be changed into a prime (214312313057) 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 7 ways as a sum of consecutive naturals, for example, 4800944 + ... + 4845377.

It is an arithmetic number, because the mean of its divisors is an integer number (28866618585).

Almost surely, 2^214312313657 is an apocalyptic number.

It is an amenable number.

214312313657 is a deficient number, since it is larger than the sum of its proper divisors (16620635023).

214312313657 is a wasteful number, since it uses less digits than its factorization.

214312313657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9648043.

The product of its digits is 90720, while the sum is 38.

The spelling of 214312313657 in words is "two hundred fourteen billion, three hundred twelve million, three hundred thirteen thousand, six hundred fifty-seven".