22442140214144 has 256 divisors, whose sum is σ = 54813759436800. Its totient is φ = 8947656990720.

The previous prime is 22442140214129. The next prime is 22442140214159. The reversal of 22442140214144 is 44141204124422.

It is an interprime number because it is at equal distance from previous prime (22442140214129) and next prime (22442140214159).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98911709 + ... + 99138339.

It is an arithmetic number, because the mean of its divisors is an integer number (214116247800).

Almost surely, 2^{22442140214144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22442140214144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27406879718400).

22442140214144 is an abundant number, since it is smaller than the sum of its proper divisors (32371619222656).

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

22442140214144 is a wasteful number, since it uses less digits than its factorization.

22442140214144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226821 (or 226809 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 35.

Adding to 22442140214144 its reverse (44141204124422), we get a palindrome (66583344338566).

The spelling of 22442140214144 in words is "twenty-two trillion, four hundred forty-two billion, one hundred forty million, two hundred fourteen thousand, one hundred forty-four".