22188565840896 has 3960 divisors, whose sum is σ = 94209910280640. Its totient is φ = 5131831541760.

The previous prime is 22188565840891. The next prime is 22188565840907. The reversal of 22188565840896 is 69804856588122.

22188565840896 is a `hidden beast` number, since 2 + 2 + 1 + 8 + 85 + 6 + 58 + 408 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (22188565840891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 715760188401 + ... + 715760188431.

It is an arithmetic number, because the mean of its divisors is an integer number (23790381384).

Almost surely, 2^{22188565840896} is an apocalyptic number.

22188565840896 is a gapful number since it is divisible by the number (26) 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 22188565840896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47104955140320).

22188565840896 is an abundant number, since it is smaller than the sum of its proper divisors (72021344439744).

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

22188565840896 is a wasteful number, since it uses less digits than its factorization.

22188565840896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 530841600, while the sum is 72.

The spelling of 22188565840896 in words is "twenty-two trillion, one hundred eighty-eight billion, five hundred sixty-five million, eight hundred forty thousand, eight hundred ninety-six".