22884939504000 has 2048 divisors, whose sum is σ = 102559841280000. Its totient is φ = 4896217497600.

The previous prime is 22884939503953. The next prime is 22884939504001. The reversal of 22884939504000 is 40593948822.

22884939504000 is a `hidden beast` number, since 2 + 28 + 8 + 493 + 95 + 0 + 40 + 0 + 0 = 666.

It is a super-2 number, since 2×22884939504000² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22884939504001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 10230190882 + ... + 10230193118.

It is an arithmetic number, because the mean of its divisors is an integer number (50078047500).

Almost surely, 2^{22884939504000} is an apocalyptic number.

22884939504000 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 22884939504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51279920640000).

22884939504000 is an abundant number, since it is smaller than the sum of its proper divisors (79674901776000).

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

22884939504000 is a wasteful number, since it uses less digits than its factorization.

22884939504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2498 (or 2470 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 22884939504000 in words is "twenty-two trillion, eight hundred eighty-four billion, nine hundred thirty-nine million, five hundred four thousand".