232414414232 has 128 divisors (see below), whose sum is σ = 585402854400. Its totient is φ = 83542233600.

The previous prime is 232414414109. The next prime is 232414414237.

It is a happy number.

232414414232 is nontrivially palindromic in base 10.

232414414232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232414414237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18163757 + ... + 18176547.

It is an arithmetic number, because the mean of its divisors is an integer number (4573459800).

Almost surely, 2^232414414232 is an apocalyptic number.

232414414232 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 232414414232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292701427200).

232414414232 is an abundant number, since it is smaller than the sum of its proper divisors (352988440168).

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

232414414232 is a wasteful number, since it uses less digits than its factorization.

232414414232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15097 (or 15093 counting only the distinct ones).

The product of its digits is 36864, while the sum is 32.

It can be divided in two parts, 232414 and 414232, that added together give a palindrome (646646).

The spelling of 232414414232 in words is "two hundred thirty-two billion, four hundred fourteen million, four hundred fourteen thousand, two hundred thirty-two".