234213595312432 has 160 divisors (see below), whose sum is σ = 495664560705600. Its totient is φ = 106799618064384.

The previous prime is 234213595312387. The next prime is 234213595312513.

234213595312432 is nontrivially palindromic in base 10.

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, 337254898 + ... + 337948654.

It is an arithmetic number, because the mean of its divisors is an integer number (3097903504410).

Almost surely, 2^{234213595312432} 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 234213595312432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247832280352800).

234213595312432 is an abundant number, since it is smaller than the sum of its proper divisors (261450965393168).

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

234213595312432 is a wasteful number, since it uses less digits than its factorization.

234213595312432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694143 (or 694137 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 49.

The spelling of 234213595312432 in words is "two hundred thirty-four trillion, two hundred thirteen billion, five hundred ninety-five million, three hundred twelve thousand, four hundred thirty-two".