230331894624 has 768 divisors, whose sum is σ = 785925504000. Its totient is φ = 65034731520.

The previous prime is 230331894601. The next prime is 230331894631. The reversal of 230331894624 is 426498133032.

230331894624 is a `hidden beast` number, since 2 + 3 + 0 + 3 + 3 + 18 + 9 + 4 + 624 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 230331894624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1272551814 + ... + 1272551994.

It is an arithmetic number, because the mean of its divisors is an integer number (1023340500).

Almost surely, 2^230331894624 is an apocalyptic number.

230331894624 is a gapful number since it is divisible by the number (24) 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 230331894624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392962752000).

230331894624 is an abundant number, since it is smaller than the sum of its proper divisors (555593609376).

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

230331894624 is a wasteful number, since it uses less digits than its factorization.

230331894624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 230331894624 in words is "two hundred thirty billion, three hundred thirty-one million, eight hundred ninety-four thousand, six hundred twenty-four".