314991452160 has 1568 divisors, whose sum is σ = 1423361331072. Its totient is φ = 64975011840.

The previous prime is 314991452141. The next prime is 314991452173. The reversal of 314991452160 is 61254199413.

314991452160 is a `hidden beast` number, since 3 + 1 + 499 + 145 + 2 + 16 + 0 = 666.

It is a super-2 number, since 2×314991452160² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 111 ways as a sum of consecutive naturals, for example, 2299207612 + ... + 2299207748.

Almost surely, 2^314991452160 is an apocalyptic number.

314991452160 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314991452160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711680665536).

314991452160 is an abundant number, since it is smaller than the sum of its proper divisors (1108369878912).

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

314991452160 is an equidigital number, since it uses as much as digits as its factorization.

314991452160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 314991452160 in words is "three hundred fourteen billion, nine hundred ninety-one million, four hundred fifty-two thousand, one hundred sixty".