22131241344 has 192 divisors, whose sum is σ = 67192398000. Its totient is φ = 6972604416.

The previous prime is 22131241339. The next prime is 22131241367. The reversal of 22131241344 is 44314213122.

22131241344 is a `hidden beast` number, since 2 + 2 + 1 + 312 + 4 + 1 + 344 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12453384 + ... + 12455160.

Almost surely, 2^22131241344 is an apocalyptic number.

22131241344 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 22131241344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33596199000).

22131241344 is an abundant number, since it is smaller than the sum of its proper divisors (45061156656).

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

22131241344 is a wasteful number, since it uses less digits than its factorization.

22131241344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2385 (or 2370 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 22131241344 its reverse (44314213122), we get a palindrome (66445454466).

The spelling of 22131241344 in words is "twenty-two billion, one hundred thirty-one million, two hundred forty-one thousand, three hundred forty-four".