230177932488864 has 144 divisors (see below), whose sum is σ = 697560506802432. Its totient is φ = 71828574580224.

The previous prime is 230177932488857. The next prime is 230177932488913. The reversal of 230177932488864 is 468884239771032.

230177932488864 is a `hidden beast` number, since 2 + 3 + 0 + 17 + 79 + 3 + 2 + 488 + 8 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 230177932488792 and 230177932488801.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 369359779 + ... + 369982434.

It is an arithmetic number, because the mean of its divisors is an integer number (4844170186128).

Almost surely, 2^{230177932488864} is an apocalyptic number.

230177932488864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

230177932488864 is an abundant number, since it is smaller than the sum of its proper divisors (467382574313568).

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

230177932488864 is a wasteful number, since it uses less digits than its factorization.

230177932488864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739342299 (or 739342288 counting only the distinct ones).

The product of its (nonzero) digits is 780337152, while the sum is 72.

The spelling of 230177932488864 in words is "two hundred thirty trillion, one hundred seventy-seven billion, nine hundred thirty-two million, four hundred eighty-eight thousand, eight hundred sixty-four".