22118688144 has 320 divisors, whose sum is σ = 74520865280. Its totient is φ = 6228016128.

The previous prime is 22118688143. The next prime is 22118688199. The reversal of 22118688144 is 44188681122.

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

It is a self number, because there is not a number n which added to its sum of digits gives 22118688144.

It is not an unprimeable number, because it can be changed into a prime (22118688143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17880294 + ... + 17881530.

It is an arithmetic number, because the mean of its divisors is an integer number (232877704).

Almost surely, 2^22118688144 is an apocalyptic number.

22118688144 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 22118688144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37260432640).

22118688144 is an abundant number, since it is smaller than the sum of its proper divisors (52402177136).

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

22118688144 is an equidigital number, since it uses as much as digits as its factorization.

22118688144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346 (or 1322 counting only the distinct ones).

The product of its digits is 196608, while the sum is 45.

The spelling of 22118688144 in words is "twenty-two billion, one hundred eighteen million, six hundred eighty-eight thousand, one hundred forty-four".