22561002709344 has 144 divisors (see below), whose sum is σ = 74107464958800. Its totient is φ = 6434510561280.

The previous prime is 22561002709337. The next prime is 22561002709363. The reversal of 22561002709344 is 44390720016522.

22561002709344 is a `hidden beast` number, since 2 + 2 + 5 + 610 + 0 + 27 + 0 + 9 + 3 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 22561002709344.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 209402869 + ... + 209510580.

It is an arithmetic number, because the mean of its divisors is an integer number (514635173325).

Almost surely, 2^{22561002709344} is an apocalyptic number.

22561002709344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22561002709344 is an abundant number, since it is smaller than the sum of its proper divisors (51546462249456).

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

22561002709344 is a wasteful number, since it uses less digits than its factorization.

22561002709344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418913493 (or 418913482 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 22561002709344 in words is "twenty-two trillion, five hundred sixty-one billion, two million, seven hundred nine thousand, three hundred forty-four".