22364885002104 has 240 divisors, whose sum is σ = 66562247194080. Its totient is φ = 7014509383680.

The previous prime is 22364885002093. The next prime is 22364885002123. The reversal of 22364885002104 is 40120058846322.

22364885002104 is a `hidden beast` number, since 2 + 2 + 3 + 64 + 88 + 500 + 2 + 1 + 0 + 4 = 666.

It is a super-3 number, since 3×22364885002104³ (a number of 41 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22364885002104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 782220849 + ... + 782249439.

It is an arithmetic number, because the mean of its divisors is an integer number (277342696642).

Almost surely, 2^{22364885002104} is an apocalyptic number.

22364885002104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22364885002104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33281123597040).

22364885002104 is an abundant number, since it is smaller than the sum of its proper divisors (44197362191976).

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

22364885002104 is a wasteful number, since it uses less digits than its factorization.

22364885002104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32820 (or 32790 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 22364885002104 in words is "twenty-two trillion, three hundred sixty-four billion, eight hundred eighty-five million, two thousand, one hundred four".