22141242144 has 144 divisors (see below), whose sum is σ = 73632791232. Its totient is φ = 6178927104.

The previous prime is 22141242139. The next prime is 22141242157. The reversal of 22141242144 is 44124214122.

22141242144 is a `hidden beast` number, since 221 + 4 + 12 + 421 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41019 + ... + 214394.

It is an arithmetic number, because the mean of its divisors is an integer number (511338828).

Almost surely, 2^22141242144 is an apocalyptic number.

22141242144 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 22141242144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36816395616).

22141242144 is an abundant number, since it is smaller than the sum of its proper divisors (51491549088).

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

22141242144 is a wasteful number, since it uses less digits than its factorization.

22141242144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255479 (or 255468 counting only the distinct ones).

The product of its digits is 4096, while the sum is 27.

Adding to 22141242144 its reverse (44124214122), we get a palindrome (66265456266).

The spelling of 22141242144 in words is "twenty-two billion, one hundred forty-one million, two hundred forty-two thousand, one hundred forty-four".