22346166164322 has 256 divisors, whose sum is σ = 60732525772800. Its totient is φ = 5293251452160.

The previous prime is 22346166164249. The next prime is 22346166164341.

22346166164322 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×22346166164322² (a number of 27 digits) contains 22 as substring.

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, 182238829 + ... + 182361407.

It is an arithmetic number, because the mean of its divisors is an integer number (237236428800).

Almost surely, 2^{22346166164322} is an apocalyptic number.

22346166164322 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 22346166164322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30366262886400).

22346166164322 is an abundant number, since it is smaller than the sum of its proper divisors (38386359608478).

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

22346166164322 is a wasteful number, since it uses less digits than its factorization.

22346166164322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122981.

The product of its digits is 2985984, while the sum is 48.

It can be divided in two parts, 2234616 and 6164322, that added together give a palindrome (8398938).

The spelling of 22346166164322 in words is "twenty-two trillion, three hundred forty-six billion, one hundred sixty-six million, one hundred sixty-four thousand, three hundred twenty-two".