314733968640 has 864 divisors, whose sum is σ = 1360549322496. Its totient is φ = 65399685120.

The previous prime is 314733968489. The next prime is 314733968657. The reversal of 314733968640 is 46869337413.

It is a happy number.

314733968640 is a `hidden beast` number, since 3 + 1 + 473 + 3 + 96 + 86 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 70235200 + ... + 70239680.

It is an arithmetic number, because the mean of its divisors is an integer number (1574709864).

Almost surely, 2^314733968640 is an apocalyptic number.

314733968640 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 314733968640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680274661248).

314733968640 is an abundant number, since it is smaller than the sum of its proper divisors (1045815353856).

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

314733968640 is a wasteful number, since it uses less digits than its factorization.

314733968640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4595 (or 4578 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 314733968640 in words is "three hundred fourteen billion, seven hundred thirty-three million, nine hundred sixty-eight thousand, six hundred forty".