314658856413 has 32 divisors (see below), whose sum is σ = 510143944320. Its totient is φ = 190100695680.

The previous prime is 314658856387. The next prime is 314658856433.

It is a happy number.

314658856413 is a `hidden beast` number, since 3 + 1 + 4 + 6 + 588 + 56 + 4 + 1 + 3 = 666.

314658856413 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 314658856413 - 2⁸ = 314658856157 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 314658856413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314658856433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1576920 + ... + 1765217.

It is an arithmetic number, because the mean of its divisors is an integer number (15941998260).

Almost surely, 2^314658856413 is an apocalyptic number.

314658856413 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

314658856413 is a deficient number, since it is larger than the sum of its proper divisors (195485087907).

314658856413 is a wasteful number, since it uses less digits than its factorization.

314658856413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3342474 (or 3342468 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 54.

The spelling of 314658856413 in words is "three hundred fourteen billion, six hundred fifty-eight million, eight hundred fifty-six thousand, four hundred thirteen".