232444424444232 has 2880 divisors, whose sum is σ = 882478221465600. Its totient is φ = 50633151528960.

The previous prime is 232444424444191. The next prime is 232444424444339.

232444424444232 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 1830271058553 + ... + 1830271058679.

It is an arithmetic number, because the mean of its divisors is an integer number (306416049120).

Almost surely, 2^{232444424444232} is an apocalyptic number.

232444424444232 is a gapful number since it is divisible by the number (22) 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 232444424444232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441239110732800).

232444424444232 is an abundant number, since it is smaller than the sum of its proper divisors (650033797021368).

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

232444424444232 is a wasteful number, since it uses less digits than its factorization.

232444424444232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 217 counting only the distinct ones).

The product of its digits is 18874368, while the sum is 48.

The spelling of 232444424444232 in words is "two hundred thirty-two trillion, four hundred forty-four billion, four hundred twenty-four million, four hundred forty-four thousand, two hundred thirty-two".