230104255140864 has 880 divisors, whose sum is σ = 776299247982720. Its totient is φ = 67396419256320.

The previous prime is 230104255140821. The next prime is 230104255140919. The reversal of 230104255140864 is 468041552401032.

230104255140864 is a `hidden beast` number, since 2 + 3 + 0 + 1 + 0 + 425 + 5 + 140 + 86 + 4 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2220110227 + ... + 2220213869.

It is an arithmetic number, because the mean of its divisors is an integer number (882158236344).

Almost surely, 2^{230104255140864} is an apocalyptic number.

230104255140864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230104255140864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388149623991360).

230104255140864 is an abundant number, since it is smaller than the sum of its proper divisors (546194992841856).

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

230104255140864 is a wasteful number, since it uses less digits than its factorization.

230104255140864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103788 (or 103761 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 230104255140864 in words is "two hundred thirty trillion, one hundred four billion, two hundred fifty-five million, one hundred forty thousand, eight hundred sixty-four".