22215013561728 has 640 divisors, whose sum is σ = 72302758466400. Its totient is φ = 6757699829760.

The previous prime is 22215013561679. The next prime is 22215013561733. The reversal of 22215013561728 is 82716531051222.

22215013561728 is a `hidden beast` number, since 2 + 2 + 2 + 1 + 5 + 0 + 1 + 3 + 5 + 617 + 28 = 666.

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 79 ways as a sum of consecutive naturals, for example, 2914969758 + ... + 2914977378.

Almost surely, 2^{22215013561728} 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 22215013561728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36151379233200).

22215013561728 is an abundant number, since it is smaller than the sum of its proper divisors (50087744904672).

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

22215013561728 is an frugal number, since it uses more digits than its factorization.

22215013561728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7764 (or 7728 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 22215013561728 in words is "twenty-two trillion, two hundred fifteen billion, thirteen million, five hundred sixty-one thousand, seven hundred twenty-eight".