230643382354944 has 1408 divisors, whose sum is σ = 722610782208000. Its totient is φ = 64870754549760.

The previous prime is 230643382354873. The next prime is 230643382354951. The reversal of 230643382354944 is 449453283346032.

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, 320783563417 + ... + 320783564135.

Almost surely, 2^{230643382354944} is an apocalyptic number.

230643382354944 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 230643382354944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361305391104000).

230643382354944 is an abundant number, since it is smaller than the sum of its proper divisors (491967399853056).

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

230643382354944 is a wasteful number, since it uses less digits than its factorization.

230643382354944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 179159040, while the sum is 60.

The spelling of 230643382354944 in words is "two hundred thirty trillion, six hundred forty-three billion, three hundred eighty-two million, three hundred fifty-four thousand, nine hundred forty-four".