22106947968 has 384 divisors, whose sum is σ = 77630192640. Its totient is φ = 5894553600.

The previous prime is 22106947939. The next prime is 22106947987. The reversal of 22106947968 is 86974960122.

22106947968 is a `hidden beast` number, since 2 + 2 + 106 + 9 + 479 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 17957913 + ... + 17959143.

It is an arithmetic number, because the mean of its divisors is an integer number (202161960).

Almost surely, 2^22106947968 is an apocalyptic number.

22106947968 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 22106947968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38815096320).

22106947968 is an abundant number, since it is smaller than the sum of its proper divisors (55523244672).

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

22106947968 is a wasteful number, since it uses less digits than its factorization.

22106947968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1406 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 22106947968 in words is "twenty-two billion, one hundred six million, nine hundred forty-seven thousand, nine hundred sixty-eight".