232441121144232 has 1152 divisors, whose sum is σ = 879693476014080. Its totient is φ = 53896986316800.

The previous prime is 232441121144153. The next prime is 232441121144279.

232441121144232 is a `hidden beast` number, since 2 + 3 + 2 + 4 + 4 + 11 + 211 + 4 + 423 + 2 = 666.

232441121144232 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 65791427938 + ... + 65791431470.

It is an arithmetic number, because the mean of its divisors is an integer number (763622809040).

Almost surely, 2^{232441121144232} is an apocalyptic number.

232441121144232 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 232441121144232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439846738007040).

232441121144232 is an abundant number, since it is smaller than the sum of its proper divisors (647252354869848).

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

232441121144232 is a wasteful number, since it uses less digits than its factorization.

232441121144232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6295 (or 6277 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The spelling of 232441121144232 in words is "two hundred thirty-two trillion, four hundred forty-one billion, one hundred twenty-one million, one hundred forty-four thousand, two hundred thirty-two".