314661144 has 48 divisors (see below), whose sum is σ = 915089400. Its totient is φ = 89902848.

The previous prime is 314661133. The next prime is 314661163. The reversal of 314661144 is 441166413.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 132609 + ... + 134960.

Almost surely, 2^314661144 is an apocalyptic number.

It is an amenable number.

314661144 is an abundant number, since it is smaller than the sum of its proper divisors (600428256).

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

314661144 is a wasteful number, since it uses less digits than its factorization.

314661144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267592 (or 267581 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 314661144 is about 17738.6905942913. The cubic root of 314661144 is about 680.1651444343.

The spelling of 314661144 in words is "three hundred fourteen million, six hundred sixty-one thousand, one hundred forty-four".