22009412736 has 384 divisors, whose sum is σ = 69588480000. Its totient is φ = 6651279360.

The previous prime is 22009412731. The next prime is 22009412771. The reversal of 22009412736 is 63721490022.

22009412736 is a `hidden beast` number, since 2 + 200 + 9 + 412 + 7 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 22009412736.

It is not an unprimeable number, because it can be changed into a prime (22009412731) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 110599965 + ... + 110600163.

It is an arithmetic number, because the mean of its divisors is an integer number (181220000).

Almost surely, 2^22009412736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22009412736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34794240000).

22009412736 is an abundant number, since it is smaller than the sum of its proper divisors (47579067264).

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

22009412736 is a wasteful number, since it uses less digits than its factorization.

22009412736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 22009412736 in words is "twenty-two billion, nine million, four hundred twelve thousand, seven hundred thirty-six".