314252100864 has 864 divisors, whose sum is σ = 1085668147200. Its totient is φ = 86533816320.

The previous prime is 314252100863. The next prime is 314252100871. The reversal of 314252100864 is 468001252413.

It is a happy number.

314252100864 is a `hidden beast` number, since 31 + 42 + 521 + 0 + 0 + 8 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314252100863) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 829161027 + ... + 829161405.

Almost surely, 2^314252100864 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 314252100864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542834073600).

314252100864 is an abundant number, since it is smaller than the sum of its proper divisors (771416046336).

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

314252100864 is a wasteful number, since it uses less digits than its factorization.

314252100864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 314252100864 in words is "three hundred fourteen billion, two hundred fifty-two million, one hundred thousand, eight hundred sixty-four".