230613609600 has 2016 divisors, whose sum is σ = 1011244911600. Its totient is φ = 51732172800.

The previous prime is 230613609563. The next prime is 230613609641. The reversal of 230613609600 is 6906316032.

230613609600 is a `hidden beast` number, since 2 + 30 + 6 + 13 + 6 + 0 + 9 + 600 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 5363107179 + ... + 5363107221.

Almost surely, 2^230613609600 is an apocalyptic number.

230613609600 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 230613609600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505622455800).

230613609600 is an abundant number, since it is smaller than the sum of its proper divisors (780631302000).

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

230613609600 is a wasteful number, since it uses less digits than its factorization.

230613609600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The spelling of 230613609600 in words is "two hundred thirty billion, six hundred thirteen million, six hundred nine thousand, six hundred".