23442311324432 has 320 divisors, whose sum is σ = 61513396224000. Its totient is φ = 8407472785920.

The previous prime is 23442311324423. The next prime is 23442311324479.

23442311324432 is nontrivially palindromic in base 10.

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, 993348569 + ... + 993372167.

It is an arithmetic number, because the mean of its divisors is an integer number (192229363200).

Almost surely, 2^{23442311324432} is an apocalyptic number.

23442311324432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23442311324432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30756698112000).

23442311324432 is an abundant number, since it is smaller than the sum of its proper divisors (38071084899568).

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

23442311324432 is a wasteful number, since it uses less digits than its factorization.

23442311324432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24031 (or 23999 counting only the distinct ones).

The product of its digits is 331776, while the sum is 38.

It can be divided in two parts, 2344231 and 1324432, that added together give a palindrome (3668663).

The spelling of 23442311324432 in words is "twenty-three trillion, four hundred forty-two billion, three hundred eleven million, three hundred twenty-four thousand, four hundred thirty-two".