232431444134232 has 128 divisors (see below), whose sum is σ = 669699873561600. Its totient is φ = 65849925316608.

The previous prime is 232431444134191. The next prime is 232431444134293.

232431444134232 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×232431444134232² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1347088 + ... + 21602720.

It is an arithmetic number, because the mean of its divisors is an integer number (5232030262200).

Almost surely, 2^{232431444134232} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232431444134232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334849936780800).

232431444134232 is an abundant number, since it is smaller than the sum of its proper divisors (437268429427368).

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

232431444134232 is a wasteful number, since it uses less digits than its factorization.

232431444134232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20256225 (or 20256221 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 42.

The spelling of 232431444134232 in words is "two hundred thirty-two trillion, four hundred thirty-one billion, four hundred forty-four million, one hundred thirty-four thousand, two hundred thirty-two".