22000104315072 has 448 divisors, whose sum is σ = 70568063283200. Its totient is φ = 6763806913536.

The previous prime is 22000104315061. The next prime is 22000104315089. The reversal of 22000104315072 is 27051340100022.

22000104315072 is a `hidden beast` number, since 2 + 20 + 0 + 0 + 104 + 31 + 507 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2654768913 + ... + 2654777199.

It is an arithmetic number, because the mean of its divisors is an integer number (157517998400).

Almost surely, 2^{22000104315072} 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 22000104315072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35284031641600).

22000104315072 is an abundant number, since it is smaller than the sum of its proper divisors (48567958968128).

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

22000104315072 is an equidigital number, since it uses as much as digits as its factorization.

22000104315072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9792 (or 9764 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

Adding to 22000104315072 its reverse (27051340100022), we get a palindrome (49051444415094).

The spelling of 22000104315072 in words is "twenty-two trillion, one hundred four million, three hundred fifteen thousand, seventy-two".