22223408256000 has 792 divisors, whose sum is σ = 93158793974376. Its totient is φ = 5079623270400.

The previous prime is 22223408255999. The next prime is 22223408256097. The reversal of 22223408256000 is 65280432222.

22223408256000 is a `hidden beast` number, since 2 + 2 + 2 + 2 + 3 + 40 + 8 + 2 + 5 + 600 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6620781855744 + 15602626400256 = 2573088^2 + 3950016^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 56251152 + ... + 56644848.

Almost surely, 2^{22223408256000} is an apocalyptic number.

22223408256000 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 22223408256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46579396987188).

22223408256000 is an abundant number, since it is smaller than the sum of its proper divisors (70935385718376).

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

22223408256000 is a wasteful number, since it uses less digits than its factorization.

22223408256000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393752 (or 393714 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 22223408256000 its reverse (65280432222), we get a palindrome (22288688688222).

The spelling of 22223408256000 in words is "twenty-two trillion, two hundred twenty-three billion, four hundred eight million, two hundred fifty-six thousand".