23442488424432 has 1280 divisors, whose sum is σ = 90800588390400. Its totient is φ = 5613124608000.

The previous prime is 23442488424409. The next prime is 23442488424463.

23442488424432 is a `hidden beast` number, since 2 + 34 + 42 + 48 + 84 + 24 + 432 = 666.

23442488424432 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1858885807 + ... + 1858898417.

It is an arithmetic number, because the mean of its divisors is an integer number (70937959680).

Almost surely, 2^{23442488424432} is an apocalyptic number.

23442488424432 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 23442488424432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45400294195200).

23442488424432 is an abundant number, since it is smaller than the sum of its proper divisors (67358099965968).

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

23442488424432 is a wasteful number, since it uses less digits than its factorization.

23442488424432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12763 (or 12751 counting only the distinct ones).

The product of its digits is 37748736, while the sum is 54.

The spelling of 23442488424432 in words is "twenty-three trillion, four hundred forty-two billion, four hundred eighty-eight million, four hundred twenty-four thousand, four hundred thirty-two".