230842368000 has 816 divisors, whose sum is σ = 867610328832. Its totient is φ = 58982400000.

The previous prime is 230842367993. The next prime is 230842368013. The reversal of 230842368000 is 863248032.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2285567950 + ... + 2285568050.

It is an arithmetic number, because the mean of its divisors is an integer number (1063247952).

Almost surely, 2^230842368000 is an apocalyptic number.

230842368000 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 230842368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433805164416).

230842368000 is an abundant number, since it is smaller than the sum of its proper divisors (636767960832).

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

230842368000 is an equidigital number, since it uses as much as digits as its factorization.

230842368000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 230842368000 in words is "two hundred thirty billion, eight hundred forty-two million, three hundred sixty-eight thousand".