230331340800 has 1728 divisors, whose sum is σ = 996812762400. Its totient is φ = 52553318400.

The previous prime is 230331340769. The next prime is 230331340823. The reversal of 230331340800 is 8043133032.

230331340800 is a `hidden beast` number, since 2 + 303 + 313 + 40 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13548902392 + ... + 13548902408.

Almost surely, 2^230331340800 is an apocalyptic number.

230331340800 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 230331340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498406381200).

230331340800 is an abundant number, since it is smaller than the sum of its proper divisors (766481421600).

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

230331340800 is an equidigital number, since it uses as much as digits as its factorization.

230331340800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 230331340800 its reverse (8043133032), we get a palindrome (238374473832).

The spelling of 230331340800 in words is "two hundred thirty billion, three hundred thirty-one million, three hundred forty thousand, eight hundred".