22318474590720 has 1920 divisors, whose sum is σ = 99710071718400. Its totient is φ = 4572775710720.

The previous prime is 22318474590707. The next prime is 22318474590749. The reversal of 22318474590720 is 2709547481322.

22318474590720 is a `hidden beast` number, since 2 + 2 + 3 + 1 + 8 + 47 + 4 + 590 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-3 number, since 3×22318474590720³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6345882402 + ... + 6345885918.

It is an arithmetic number, because the mean of its divisors is an integer number (51932329020).

Almost surely, 2^{22318474590720} is an apocalyptic number.

22318474590720 is a gapful number since it is divisible by the number (20) 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 22318474590720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49855035859200).

22318474590720 is an abundant number, since it is smaller than the sum of its proper divisors (77391597127680).

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

22318474590720 is a wasteful number, since it uses less digits than its factorization.

22318474590720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3651 (or 3618 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 22318474590720 in words is "twenty-two trillion, three hundred eighteen billion, four hundred seventy-four million, five hundred ninety thousand, seven hundred twenty".