22065284916900 has 1215 divisors, whose sum is σ = 78547865151987. Its totient is φ = 5357256537600.

The previous prime is 22065284916889. The next prime is 22065284916929. The reversal of 22065284916900 is 961948256022.

The square root of 22065284916900 is 4697370.

It is a perfect power (a square), and thus also a powerful number.

22065284916900 is a `hidden beast` number, since 2 + 2 + 0 + 65 + 2 + 8 + 491 + 6 + 90 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9287634143844 + 12777650773056 = 3047562^2 + 3574584^2 .

It is a super-2 number, since 2×22065284916900² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 404 ways as a sum of consecutive naturals, for example, 329332610667 + ... + 329332610733.

Almost surely, 2^{22065284916900} is an apocalyptic number.

22065284916900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

22065284916900 is the 4697370-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22065284916900

22065284916900 is an abundant number, since it is smaller than the sum of its proper divisors (56482580235087).

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

22065284916900 is a wasteful number, since it uses less digits than its factorization.

22065284916900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 22065284916900 in words is "twenty-two trillion, sixty-five billion, two hundred eighty-four million, nine hundred sixteen thousand, nine hundred".