314400189796 has 135 divisors (see below), whose sum is σ = 706160879235. Its totient is φ = 122123509200.

The previous prime is 314400189769. The next prime is 314400189839. The reversal of 314400189796 is 697981004413.

The square root of 314400189796 is 560714.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 949849351 + ... + 949849681.

Almost surely, 2^314400189796 is an apocalyptic number.

314400189796 is the 560714-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314400189796

314400189796 is an abundant number, since it is smaller than the sum of its proper divisors (391760689439).

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

314400189796 is an frugal number, since it uses more digits than its factorization.

314400189796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 52.

The spelling of 314400189796 in words is "three hundred fourteen billion, four hundred million, one hundred eighty-nine thousand, seven hundred ninety-six".