314638668 has 60 divisors (see below), whose sum is σ = 824198760. Its totient is φ = 104666688.

The previous prime is 314638627. The next prime is 314638679. The reversal of 314638668 is 866836413.

314638668 is a `hidden beast` number, since 3 + 1 + 4 + 638 + 6 + 6 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 308263 + ... + 309281.

It is an arithmetic number, because the mean of its divisors is an integer number (13736646).

Almost surely, 2^314638668 is an apocalyptic number.

It is an amenable number.

314638668 is an abundant number, since it is smaller than the sum of its proper divisors (509560092).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

314638668 is a wasteful number, since it uses less digits than its factorization.

314638668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1988 (or 1977 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 314638668 is about 17738.0570525636. The cubic root of 314638668 is about 680.1489494935.

It can be divided in two parts, 3146 and 38668, that added together give a palindrome (41814).

The spelling of 314638668 in words is "three hundred fourteen million, six hundred thirty-eight thousand, six hundred sixty-eight".