22848852556800 has 2112 divisors, whose sum is σ = 95332923302400. Its totient is φ = 5327526297600.

The previous prime is 22848852556771. The next prime is 22848852556811. The reversal of 22848852556800 is 865525884822.

22848852556800 is a `hidden beast` number, since 2 + 2 + 8 + 48 + 8 + 5 + 25 + 568 + 0 + 0 = 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 191 ways as a sum of consecutive naturals, for example, 11832651835 + ... + 11832653765.

Almost surely, 2^{22848852556800} is an apocalyptic number.

22848852556800 is a gapful number since it is divisible by the number (20) 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 22848852556800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47666461651200).

22848852556800 is an abundant number, since it is smaller than the sum of its proper divisors (72484070745600).

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

22848852556800 is a wasteful number, since it uses less digits than its factorization.

22848852556800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2059 (or 2030 counting only the distinct ones).

The product of its (nonzero) digits is 98304000, while the sum is 63.

The spelling of 22848852556800 in words is "twenty-two trillion, eight hundred forty-eight billion, eight hundred fifty-two million, five hundred fifty-six thousand, eight hundred".