230462668800 has 1440 divisors, whose sum is σ = 1046656620800. Its totient is φ = 48412753920.

The previous prime is 230462668789. The next prime is 230462668819. The reversal of 230462668800 is 8866264032.

230462668800 is a `hidden beast` number, since 2 + 304 + 6 + 266 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×230462668800² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1006387086 + ... + 1006387314.

Almost surely, 2^230462668800 is an apocalyptic number.

230462668800 is a gapful number since it is divisible by the number (20) 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 230462668800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523328310400).

230462668800 is an abundant number, since it is smaller than the sum of its proper divisors (816193952000).

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

230462668800 is a wasteful number, since it uses less digits than its factorization.

230462668800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 230462668800 in words is "two hundred thirty billion, four hundred sixty-two million, six hundred sixty-eight thousand, eight hundred".