22412424144 has 160 divisors (see below), whose sum is σ = 65392386048. Its totient is φ = 6553152000.

The previous prime is 22412424137. The next prime is 22412424197. The reversal of 22412424144 is 44142421422.

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 (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6103429 + ... + 6107099.

Almost surely, 2^22412424144 is an apocalyptic number.

22412424144 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 22412424144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32696193024).

22412424144 is an abundant number, since it is smaller than the sum of its proper divisors (42979961904).

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

22412424144 is a wasteful number, since it uses less digits than its factorization.

22412424144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4097 (or 4091 counting only the distinct ones).

The product of its digits is 16384, while the sum is 30.

Adding to 22412424144 its reverse (44142421422), we get a palindrome (66554845566).

The spelling of 22412424144 in words is "twenty-two billion, four hundred twelve million, four hundred twenty-four thousand, one hundred forty-four".