232153262351232 has 256 divisors, whose sum is σ = 663001925760000. Its totient is φ = 71743264137216.

The previous prime is 232153262351183. The next prime is 232153262351233.

232153262351232 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 (232153262351233) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3301864494 + ... + 3301934802.

It is an arithmetic number, because the mean of its divisors is an integer number (2589851272500).

Almost surely, 2^{232153262351232} 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 232153262351232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331500962880000).

232153262351232 is an abundant number, since it is smaller than the sum of its proper divisors (430848663408768).

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

232153262351232 is a wasteful number, since it uses less digits than its factorization.

232153262351232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80021 (or 80009 counting only the distinct ones).

The product of its digits is 777600, while the sum is 42.

The spelling of 232153262351232 in words is "two hundred thirty-two trillion, one hundred fifty-three billion, two hundred sixty-two million, three hundred fifty-one thousand, two hundred thirty-two".