232441242144232 has 192 divisors, whose sum is σ = 496253704826880. Its totient is φ = 101922355920000.

The previous prime is 232441242144191. The next prime is 232441242144257.

232441242144232 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×232441242144232³ (a number of 44 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13304395257 + ... + 13304412727.

It is an arithmetic number, because the mean of its divisors is an integer number (2584654712640).

Almost surely, 2^{232441242144232} is an apocalyptic number.

232441242144232 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 232441242144232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248126852413440).

232441242144232 is an abundant number, since it is smaller than the sum of its proper divisors (263812462682648).

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

232441242144232 is a wasteful number, since it uses less digits than its factorization.

232441242144232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21476 (or 21461 counting only the distinct ones).

The product of its digits is 589824, while the sum is 40.

The spelling of 232441242144232 in words is "two hundred thirty-two trillion, four hundred forty-one billion, two hundred forty-two million, one hundred forty-four thousand, two hundred thirty-two".