22123983168 has 224 divisors, whose sum is σ = 75444096000. Its totient is φ = 6226564608.

The previous prime is 22123983149. The next prime is 22123983169. The reversal of 22123983168 is 86138932122.

22123983168 is a `hidden beast` number, since 221 + 2 + 398 + 31 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22123983169) 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 31 ways as a sum of consecutive naturals, for example, 796783 + ... + 824081.

It is an arithmetic number, because the mean of its divisors is an integer number (336804000).

Almost surely, 2^22123983168 is an apocalyptic number.

22123983168 is a gapful number since it is divisible by the number (28) 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 22123983168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37722048000).

22123983168 is an abundant number, since it is smaller than the sum of its proper divisors (53320112832).

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

22123983168 is a wasteful number, since it uses less digits than its factorization.

22123983168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27394 (or 27378 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The spelling of 22123983168 in words is "twenty-two billion, one hundred twenty-three million, nine hundred eighty-three thousand, one hundred sixty-eight".