22119610968 has 432 divisors, whose sum is σ = 78790767120. Its totient is φ = 5576643072.

The previous prime is 22119610967. The next prime is 22119610993. The reversal of 22119610968 is 86901691122.

22119610968 is a `hidden beast` number, since 2 + 21 + 1 + 9 + 610 + 9 + 6 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22119610963) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 13712530 + ... + 13714142.

It is an arithmetic number, because the mean of its divisors is an integer number (182386035).

Almost surely, 2^22119610968 is an apocalyptic number.

22119610968 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 22119610968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39395383560).

22119610968 is an abundant number, since it is smaller than the sum of its proper divisors (56671156152).

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

22119610968 is a wasteful number, since it uses less digits than its factorization.

22119610968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1688 (or 1661 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 22119610968 in words is "twenty-two billion, one hundred nineteen million, six hundred ten thousand, nine hundred sixty-eight".