230645731504000 has 256 divisors, whose sum is σ = 579720963556800. Its totient is φ = 91250150400000.

The previous prime is 230645731503997. The next prime is 230645731504021. The reversal of 230645731504000 is 405137546032.

It is a happy number.

It is a super-2 number, since 2×230645731504000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1569062506 + ... + 1569209494.

Almost surely, 2^{230645731504000} is an apocalyptic number.

230645731504000 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 230645731504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289860481778400).

230645731504000 is an abundant number, since it is smaller than the sum of its proper divisors (349075232052800).

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

230645731504000 is a wasteful number, since it uses less digits than its factorization.

230645731504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148090 (or 148068 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 40.

The spelling of 230645731504000 in words is "two hundred thirty trillion, six hundred forty-five billion, seven hundred thirty-one million, five hundred four thousand".