22345533554322 has 256 divisors, whose sum is σ = 51757030195200. Its totient is φ = 6370970112000.

The previous prime is 22345533554317. The next prime is 22345533554371.

22345533554322 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2836083579 + ... + 2836091457.

It is an arithmetic number, because the mean of its divisors is an integer number (202175899200).

Almost surely, 2^{22345533554322} is an apocalyptic number.

22345533554322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22345533554322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25878515097600).

22345533554322 is an abundant number, since it is smaller than the sum of its proper divisors (29411496640878).

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

22345533554322 is a wasteful number, since it uses less digits than its factorization.

22345533554322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8313.

The product of its digits is 12960000, while the sum is 48.

It can be divided in two parts, 2234553 and 3554322, that added together give a palindrome (5788875).

The spelling of 22345533554322 in words is "twenty-two trillion, three hundred forty-five billion, five hundred thirty-three million, five hundred fifty-four thousand, three hundred twenty-two".