314742568320 has 320 divisors, whose sum is σ = 1139846891040. Its totient is φ = 82748252160.

The previous prime is 314742568313. The next prime is 314742568363. The reversal of 314742568320 is 23865247413.

314742568320 is a `hidden beast` number, since 3 + 1 + 4 + 74 + 256 + 8 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3637884 + ... + 3723396.

Almost surely, 2^314742568320 is an apocalyptic number.

314742568320 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 314742568320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569923445520).

314742568320 is an abundant number, since it is smaller than the sum of its proper divisors (825104322720).

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

314742568320 is an equidigital number, since it uses as much as digits as its factorization.

314742568320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85615 (or 85594 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 314742568320 in words is "three hundred fourteen billion, seven hundred forty-two million, five hundred sixty-eight thousand, three hundred twenty".