314400243680 has 48 divisors (see below), whose sum is σ = 752172765120. Its totient is φ = 124168192512.

The previous prime is 314400243679. The next prime is 314400243691. The reversal of 314400243680 is 86342004413.

It is a self number, because there is not a number n which added to its sum of digits gives 314400243680.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12424079 + ... + 12449358.

It is an arithmetic number, because the mean of its divisors is an integer number (15670265940).

Almost surely, 2^314400243680 is an apocalyptic number.

It is an amenable number.

314400243680 is an abundant number, since it is smaller than the sum of its proper divisors (437772521440).

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

314400243680 is a wasteful number, since it uses less digits than its factorization.

314400243680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24873531 (or 24873523 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 35.

The spelling of 314400243680 in words is "three hundred fourteen billion, four hundred million, two hundred forty-three thousand, six hundred eighty".