22144656105 has 192 divisors, whose sum is σ = 47404611072. Its totient is φ = 9409720320.

The previous prime is 22144656071. The next prime is 22144656113. The reversal of 22144656105 is 50165644122.

22144656105 is a `hidden beast` number, since 22 + 14 + 4 + 6 + 5 + 610 + 5 = 666.

It is not a de Polignac number, because 22144656105 - 2⁷ = 22144655977 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 22144656105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23236309 + ... + 23237261.

It is an arithmetic number, because the mean of its divisors is an integer number (246899016).

Almost surely, 2^22144656105 is an apocalyptic number.

It is an amenable number.

22144656105 is an abundant number, since it is smaller than the sum of its proper divisors (25259954967).

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

22144656105 is a wasteful number, since it uses less digits than its factorization.

22144656105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1168 (or 1165 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 22144656105 in words is "twenty-two billion, one hundred forty-four million, six hundred fifty-six thousand, one hundred five".