22221723108096 has 216 divisors, whose sum is σ = 64932240522240. Its totient is φ = 7307885426688.

The previous prime is 22221723108047. The next prime is 22221723108107. The reversal of 22221723108096 is 69080132712222.

22221723108096 is a `hidden beast` number, since 2 + 2 + 2 + 2 + 172 + 310 + 80 + 96 = 666.

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 23 ways as a sum of consecutive naturals, for example, 138945745 + ... + 139105583.

It is an arithmetic number, because the mean of its divisors is an integer number (300612224640).

Almost surely, 2^{22221723108096} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22221723108096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32466120261120).

22221723108096 is an abundant number, since it is smaller than the sum of its proper divisors (42710517414144).

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

22221723108096 is a wasteful number, since it uses less digits than its factorization.

22221723108096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160671 (or 160654 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 22221723108096 in words is "twenty-two trillion, two hundred twenty-one billion, seven hundred twenty-three million, one hundred eight thousand, ninety-six".