234221141122432 has 128 divisors (see below), whose sum is σ = 496087029986400. Its totient is φ = 109836641894400.

The previous prime is 234221141122361. The next prime is 234221141122511.

It is a happy number.

234221141122432 is nontrivially palindromic in base 10.

234221141122432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2562632958 + ... + 2562724354.

Almost surely, 2^{234221141122432} 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 234221141122432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248043514993200).

234221141122432 is an abundant number, since it is smaller than the sum of its proper divisors (261865888863968).

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

234221141122432 is a wasteful number, since it uses less digits than its factorization.

234221141122432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101964 (or 101952 counting only the distinct ones).

The product of its digits is 36864, while the sum is 34.

The spelling of 234221141122432 in words is "two hundred thirty-four trillion, two hundred twenty-one billion, one hundred forty-one million, one hundred twenty-two thousand, four hundred thirty-two".