22621648896 has 1080 divisors, whose sum is σ = 90152342280. Its totient is φ = 5620285440.

The previous prime is 22621648831. The next prime is 22621648901. The reversal of 22621648896 is 69884612622.

22621648896 is a `hidden beast` number, since 2 + 2 + 62 + 16 + 488 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 983549941 + ... + 983549963.

It is an arithmetic number, because the mean of its divisors is an integer number (83474391).

Almost surely, 2^22621648896 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 22621648896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45076171140).

22621648896 is an abundant number, since it is smaller than the sum of its proper divisors (67530693384).

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

22621648896 is a wasteful number, since it uses less digits than its factorization.

22621648896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 46 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The spelling of 22621648896 in words is "twenty-two billion, six hundred twenty-one million, six hundred forty-eight thousand, eight hundred ninety-six".