22179168144 has 320 divisors, whose sum is σ = 74837114880. Its totient is φ = 6157347840.

The previous prime is 22179168107. The next prime is 22179168211. The reversal of 22179168144 is 44186197122.

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 22179168144.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36538689 + ... + 36539295.

It is an arithmetic number, because the mean of its divisors is an integer number (233865984).

Almost surely, 2^22179168144 is an apocalyptic number.

22179168144 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 22179168144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37418557440).

22179168144 is an abundant number, since it is smaller than the sum of its proper divisors (52657946736).

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

22179168144 is a wasteful number, since it uses less digits than its factorization.

22179168144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 955 (or 943 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The spelling of 22179168144 in words is "twenty-two billion, one hundred seventy-nine million, one hundred sixty-eight thousand, one hundred forty-four".