234221545122432 has 512 divisors, whose sum is σ = 738001996992000. Its totient is φ = 64421211340800.

The previous prime is 234221545122421. The next prime is 234221545122503.

234221545122432 is nontrivially palindromic in base 10.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15559784218 + ... + 15559799270.

It is an arithmetic number, because the mean of its divisors is an integer number (1441410150375).

Almost surely, 2^{234221545122432} 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 234221545122432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369000998496000).

234221545122432 is an abundant number, since it is smaller than the sum of its proper divisors (503780451869568).

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

234221545122432 is a wasteful number, since it uses less digits than its factorization.

234221545122432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16764 (or 16752 counting only the distinct ones).

The product of its digits is 921600, while the sum is 42.

The spelling of 234221545122432 in words is "two hundred thirty-four trillion, two hundred twenty-one billion, five hundred forty-five million, one hundred twenty-two thousand, four hundred thirty-two".