230309956800 has 2016 divisors, whose sum is σ = 1086838771200. Its totient is φ = 47551795200.

The previous prime is 230309956781. The next prime is 230309956853. The reversal of 230309956800 is 8659903032.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1466942322 + ... + 1466942478.

Almost surely, 2^230309956800 is an apocalyptic number.

230309956800 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 230309956800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543419385600).

230309956800 is an abundant number, since it is smaller than the sum of its proper divisors (856528814400).

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

230309956800 is a wasteful number, since it uses less digits than its factorization.

230309956800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 230309956800 in words is "two hundred thirty billion, three hundred nine million, nine hundred fifty-six thousand, eight hundred".