314967888400 has 135 divisors (see below), whose sum is σ = 832082185389. Its totient is φ = 114488880000.

The previous prime is 314967888397. The next prime is 314967888407. The reversal of 314967888400 is 4888769413.

The square root of 314967888400 is 561220.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 113388439824 + 201579448576 = 336732^2 + 448976^2 .

It is a super-3 number, since 3×314967888400³ (a number of 35 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (314967888407) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 123467125 + ... + 123469675.

Almost surely, 2^314967888400 is an apocalyptic number.

314967888400 is the 561220-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314967888400

314967888400 is an abundant number, since it is smaller than the sum of its proper divisors (517114296989).

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

314967888400 is an equidigital number, since it uses as much as digits as its factorization.

314967888400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5142 (or 2569 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 58.

The spelling of 314967888400 in words is "three hundred fourteen billion, nine hundred sixty-seven million, eight hundred eighty-eight thousand, four hundred".