314649946413 has 32 divisors (see below), whose sum is σ = 508559990400. Its totient is φ = 190683878400.

The previous prime is 314649946397. The next prime is 314649946421.

314649946413 is a `hidden beast` number, since 3 + 146 + 49 + 9 + 46 + 413 = 666.

314649946413 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 314649946413 - 2⁴ = 314649946397 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 314649946413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314649946433) 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, 5991373 + ... + 6043661.

It is an arithmetic number, because the mean of its divisors is an integer number (15892499700).

Almost surely, 2^314649946413 is an apocalyptic number.

314649946413 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

314649946413 is a deficient number, since it is larger than the sum of its proper divisors (193910043987).

314649946413 is a wasteful number, since it uses less digits than its factorization.

314649946413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72570 (or 72564 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 54.

The spelling of 314649946413 in words is "three hundred fourteen billion, six hundred forty-nine million, nine hundred forty-six thousand, four hundred thirteen".