230362930800 has 360 divisors, whose sum is σ = 865084881024. Its totient is φ = 58758670080.

The previous prime is 230362930783. The next prime is 230362930817. The reversal of 230362930800 is 8039263032.

230362930800 is a `hidden beast` number, since 23 + 0 + 3 + 629 + 3 + 0 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (230362930783) and next prime (230362930817).

It is a tau number, because it is divible by the number of its divisors (360).

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 71 ways as a sum of consecutive naturals, for example, 2184079 + ... + 2287121.

Almost surely, 2^230362930800 is an apocalyptic number.

230362930800 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 230362930800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432542440512).

230362930800 is an abundant number, since it is smaller than the sum of its proper divisors (634721950224).

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

230362930800 is a wasteful number, since it uses less digits than its factorization.

230362930800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103099 (or 103076 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 230362930800 in words is "two hundred thirty billion, three hundred sixty-two million, nine hundred thirty thousand, eight hundred".