314482996800 has 672 divisors, whose sum is σ = 1352483594240. Its totient is φ = 69560985600.

The previous prime is 314482996783. The next prime is 314482996813. The reversal of 314482996800 is 8699284413.

314482996800 is a `hidden beast` number, since 3 + 14 + 482 + 99 + 68 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 9357627 + ... + 9391173.

Almost surely, 2^314482996800 is an apocalyptic number.

314482996800 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 314482996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676241797120).

314482996800 is an abundant number, since it is smaller than the sum of its proper divisors (1038000597440).

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

314482996800 is a wasteful number, since it uses less digits than its factorization.

314482996800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33616 (or 33595 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 314482996800 in words is "three hundred fourteen billion, four hundred eighty-two million, nine hundred ninety-six thousand, eight hundred".