22119133968 has 100 divisors (see below), whose sum is σ = 64403169600. Its totient is φ = 7328822976.

The previous prime is 22119133963. The next prime is 22119133979. The reversal of 22119133968 is 86933191122.

It is a happy number.

22119133968 is a `hidden beast` number, since 221 + 1 + 91 + 339 + 6 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (22119133963) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 165333 + ... + 267531.

It is an arithmetic number, because the mean of its divisors is an integer number (644031696).

Almost surely, 2^22119133968 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 22119133968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32201584800).

22119133968 is an abundant number, since it is smaller than the sum of its proper divisors (42284035632).

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

22119133968 is a wasteful number, since it uses less digits than its factorization.

22119133968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102386 (or 102371 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The spelling of 22119133968 in words is "twenty-two billion, one hundred nineteen million, one hundred thirty-three thousand, nine hundred sixty-eight".