234221464122432 has 224 divisors, whose sum is σ = 662661310387200. Its totient is φ = 72794938816512.

The previous prime is 234221464122427. The next prime is 234221464122433.

234221464122432 is nontrivially palindromic in base 10.

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

It is not an unprimeable number, because it can be changed into a prime (234221464122433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 270625293 + ... + 271489395.

Almost surely, 2^{234221464122432} 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 234221464122432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331330655193600).

234221464122432 is an abundant number, since it is smaller than the sum of its proper divisors (428439846264768).

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

234221464122432 is a wasteful number, since it uses less digits than its factorization.

234221464122432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865313 (or 865303 counting only the distinct ones).

The product of its digits is 884736, while the sum is 42.

The spelling of 234221464122432 in words is "two hundred thirty-four trillion, two hundred twenty-one billion, four hundred sixty-four million, one hundred twenty-two thousand, four hundred thirty-two".