314789385800 has 108 divisors (see below), whose sum is σ = 741320826705. Its totient is φ = 124312965120.

The previous prime is 314789385719. The next prime is 314789385817. The reversal of 314789385800 is 8583987413.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 14 ways, for example, as 26551398916 + 288237986884 = 162946^2 + 536878^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=396730.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 769655996 + ... + 769656404.

Almost surely, 2^314789385800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314789385800

314789385800 is an abundant number, since it is smaller than the sum of its proper divisors (426531440905).

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

314789385800 is an frugal number, since it uses more digits than its factorization.

314789385800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 56.

The spelling of 314789385800 in words is "three hundred fourteen billion, seven hundred eighty-nine million, three hundred eighty-five thousand, eight hundred".