232114411232 has 96 divisors (see below), whose sum is σ = 528175196640. Its totient is φ = 99237806080.

The previous prime is 232114411231. The next prime is 232114411253.

It is a happy number.

232114411232 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232114411231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10215308 + ... + 10238004.

It is an arithmetic number, because the mean of its divisors is an integer number (5501824965).

Almost surely, 2^232114411232 is an apocalyptic number.

232114411232 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 232114411232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264087598320).

232114411232 is an abundant number, since it is smaller than the sum of its proper divisors (296060785408).

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

232114411232 is a wasteful number, since it uses less digits than its factorization.

232114411232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24444 (or 24436 counting only the distinct ones).

The product of its digits is 2304, while the sum is 26.

It can be divided in two parts, 232114 and 411232, that added together give a palindrome (643346).

The spelling of 232114411232 in words is "two hundred thirty-two billion, one hundred fourteen million, four hundred eleven thousand, two hundred thirty-two".