230918148864 has 864 divisors, whose sum is σ = 785299959808. Its totient is φ = 67184640000.

The previous prime is 230918148847. The next prime is 230918148869. The reversal of 230918148864 is 468841819032.

It is a happy number.

230918148864 is a `hidden beast` number, since 23 + 0 + 9 + 1 + 81 + 488 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 230918148864.

It is not an unprimeable number, because it can be changed into a prime (230918148869) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1529259189 + ... + 1529259339.

Almost surely, 2^230918148864 is an apocalyptic number.

230918148864 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 230918148864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392649979904).

230918148864 is an abundant number, since it is smaller than the sum of its proper divisors (554381810944).

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

230918148864 is a wasteful number, since it uses less digits than its factorization.

230918148864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 230918148864 in words is "two hundred thirty billion, nine hundred eighteen million, one hundred forty-eight thousand, eight hundred sixty-four".