23242441344 has 256 divisors, whose sum is σ = 68577684480. Its totient is φ = 6937362432.

The previous prime is 23242441331. The next prime is 23242441349. The reversal of 23242441344 is 44314424232.

It is a super-2 number, since 2×23242441344² (a number of 22 digits) contains 22 as substring.

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 (23242441349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42490479 + ... + 42491025.

It is an arithmetic number, because the mean of its divisors is an integer number (267881580).

Almost surely, 2^23242441344 is an apocalyptic number.

23242441344 is a gapful number since it is divisible by the number (24) 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 23242441344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34288842240).

23242441344 is an abundant number, since it is smaller than the sum of its proper divisors (45335243136).

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

23242441344 is a wasteful number, since it uses less digits than its factorization.

23242441344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887 (or 875 counting only the distinct ones).

The product of its digits is 73728, while the sum is 33.

Adding to 23242441344 its reverse (44314424232), we get a palindrome (67556865576).

The spelling of 23242441344 in words is "twenty-three billion, two hundred forty-two million, four hundred forty-one thousand, three hundred forty-four".