22124643345 has 288 divisors, whose sum is σ = 48975114240. Its totient is φ = 9376456320.

The previous prime is 22124643329. The next prime is 22124643377. The reversal of 22124643345 is 54334642122.

22124643345 is a `hidden beast` number, since 2 + 2 + 1 + 2 + 4 + 643 + 3 + 4 + 5 = 666.

It is not a de Polignac number, because 22124643345 - 2⁴ = 22124643329 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 311614660 + ... + 311614730.

It is an arithmetic number, because the mean of its divisors is an integer number (170052480).

Almost surely, 2^22124643345 is an apocalyptic number.

It is an amenable number.

22124643345 is an abundant number, since it is smaller than the sum of its proper divisors (26850470895).

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

22124643345 is an frugal number, since it uses more digits than its factorization.

22124643345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 168 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

The spelling of 22124643345 in words is "twenty-two billion, one hundred twenty-four million, six hundred forty-three thousand, three hundred forty-five".