22045405264100 has 18 divisors (see below), whose sum is σ = 47838529423314. Its totient is φ = 8818162105600.

The previous prime is 22045405263991. The next prime is 22045405264111. The reversal of 22045405264100 is 146250454022.

It can be written as a sum of positive squares in 3 ways, for example, as 1987851847744 + 20057553416356 = 1409912^2 + 4478566^2 .

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 5 ways as a sum of consecutive naturals, for example, 110227026221 + ... + 110227026420.

It is an arithmetic number, because the mean of its divisors is an integer number (2657696079073).

Almost surely, 2^{22045405264100} is an apocalyptic number.

22045405264100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22045405264100 is an abundant number, since it is smaller than the sum of its proper divisors (25793124159214).

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

22045405264100 is a wasteful number, since it uses less digits than its factorization.

22045405264100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220454052655 (or 220454052648 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 35.

The spelling of 22045405264100 in words is "twenty-two trillion, forty-five billion, four hundred five million, two hundred sixty-four thousand, one hundred".