230331416576 has 128 divisors (see below), whose sum is σ = 478344683520. Its totient is φ = 110788608000.

The previous prime is 230331416573. The next prime is 230331416593. The reversal of 230331416576 is 675614133032.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×230331416576² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (230331416573) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 200113601 + ... + 200114751.

It is an arithmetic number, because the mean of its divisors is an integer number (3737067840).

Almost surely, 2^230331416576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230331416576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239172341760).

230331416576 is an abundant number, since it is smaller than the sum of its proper divisors (248013266944).

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

230331416576 is an equidigital number, since it uses as much as digits as its factorization.

230331416576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1409 (or 1381 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 41.

The spelling of 230331416576 in words is "two hundred thirty billion, three hundred thirty-one million, four hundred sixteen thousand, five hundred seventy-six".