314823973680 has 480 divisors, whose sum is σ = 1097352622080. Its totient is φ = 80838051840.

The previous prime is 314823973679. The next prime is 314823973741. The reversal of 314823973680 is 86379328413.

314823973680 is a `hidden beast` number, since 3 + 1 + 48 + 239 + 7 + 368 + 0 = 666.

It is a super-2 number, since 2×314823973680² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1161711945 + ... + 1161712215.

It is an arithmetic number, because the mean of its divisors is an integer number (2286151296).

Almost surely, 2^314823973680 is an apocalyptic number.

314823973680 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 314823973680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548676311040).

314823973680 is an abundant number, since it is smaller than the sum of its proper divisors (782528648400).

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

314823973680 is a wasteful number, since it uses less digits than its factorization.

314823973680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 314823973680 in words is "three hundred fourteen billion, eight hundred twenty-three million, nine hundred seventy-three thousand, six hundred eighty".