314549028864 has 432 divisors, whose sum is σ = 1096023474000. Its totient is φ = 89864183808.

The previous prime is 314549028851. The next prime is 314549028887. The reversal of 314549028864 is 468820945413.

314549028864 is a `hidden beast` number, since 3 + 1 + 454 + 90 + 28 + 86 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a self number, because there is not a number n which added to its sum of digits gives 314549028864.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 24379087 + ... + 24391985.

It is an arithmetic number, because the mean of its divisors is an integer number (2537091375).

Almost surely, 2^314549028864 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 314549028864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548011737000).

314549028864 is an abundant number, since it is smaller than the sum of its proper divisors (781474445136).

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

314549028864 is an equidigital number, since it uses as much as digits as its factorization.

314549028864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12950 (or 12911 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 314549028864 in words is "three hundred fourteen billion, five hundred forty-nine million, twenty-eight thousand, eight hundred sixty-four".