22842855281664 has 528 divisors, whose sum is σ = 73966794520320. Its totient is φ = 6728833105920.

The previous prime is 22842855281647. The next prime is 22842855281669. The reversal of 22842855281664 is 46618255824822.

22842855281664 is a `hidden beast` number, since 2 + 2 + 8 + 4 + 2 + 8 + 552 + 8 + 16 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22842855281669) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5600109577 + ... + 5600113655.

Almost surely, 2^{22842855281664} is an apocalyptic number.

22842855281664 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 22842855281664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36983397260160).

22842855281664 is an abundant number, since it is smaller than the sum of its proper divisors (51123939238656).

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

22842855281664 is a wasteful number, since it uses less digits than its factorization.

22842855281664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5646 (or 5625 counting only the distinct ones).

The product of its digits is 117964800, while the sum is 63.

The spelling of 22842855281664 in words is "twenty-two trillion, eight hundred forty-two billion, eight hundred fifty-five million, two hundred eighty-one thousand, six hundred sixty-four".