314125664 has 48 divisors (see below), whose sum is σ = 637072128. Its totient is φ = 152380032.

The previous prime is 314125663. The next prime is 314125741. The reversal of 314125664 is 466521413.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 314125664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314125663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 229109 + ... + 230475.

It is an arithmetic number, because the mean of its divisors is an integer number (13272336).

Almost surely, 2^314125664 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 314125664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318536064).

314125664 is an abundant number, since it is smaller than the sum of its proper divisors (322946464).

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

314125664 is a wasteful number, since it uses less digits than its factorization.

314125664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1587 (or 1579 counting only the distinct ones).

The product of its digits is 17280, while the sum is 32.

The square root of 314125664 is about 17723.5906068720. The cubic root of 314125664 is about 679.7790977965.

The spelling of 314125664 in words is "three hundred fourteen million, one hundred twenty-five thousand, six hundred sixty-four".