230636874124800 has 4320 divisors, whose sum is σ = 1029135429241920. Its totient is φ = 48932978688000.

The previous prime is 230636874124771. The next prime is 230636874124927. The reversal of 230636874124800 is 8421478636032.

230636874124800 is a `hidden beast` number, since 2 + 3 + 0 + 63 + 68 + 7 + 41 + 2 + 480 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 274894962781 + ... + 274894963619.

It is an arithmetic number, because the mean of its divisors is an integer number (238225793806).

Almost surely, 2^{230636874124800} is an apocalyptic number.

230636874124800 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 230636874124800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514567714620960).

230636874124800 is an abundant number, since it is smaller than the sum of its proper divisors (798498555117120).

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

230636874124800 is a wasteful number, since it uses less digits than its factorization.

230636874124800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 230636874124800 in words is "two hundred thirty trillion, six hundred thirty-six billion, eight hundred seventy-four million, one hundred twenty-four thousand, eight hundred".