314661864 has 64 divisors (see below), whose sum is σ = 866738880. Its totient is φ = 94400000.

The previous prime is 314661859. The next prime is 314661871. The reversal of 314661864 is 468166413.

314661864 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20764 + ... + 32564.

It is an arithmetic number, because the mean of its divisors is an integer number (13542795).

Almost surely, 2^314661864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314661864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433369440).

314661864 is an abundant number, since it is smaller than the sum of its proper divisors (552077016).

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

314661864 is a wasteful number, since it uses less digits than its factorization.

314661864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11922 (or 11918 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 314661864 is about 17738.7108889006. The cubic root of 314661864 is about 680.1656632130.

The spelling of 314661864 in words is "three hundred fourteen million, six hundred sixty-one thousand, eight hundred sixty-four".