22163904000 has 960 divisors, whose sum is σ = 95599595520. Its totient is φ = 4825497600.

The previous prime is 22163903999. The next prime is 22163904001. The reversal of 22163904000 is 40936122.

22163904000 is a `hidden beast` number, since 2 + 21 + 639 + 0 + 4 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (22163903999) and next prime (22163904001).

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22163904001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 92735881 + ... + 92736119.

It is an arithmetic number, because the mean of its divisors is an integer number (99582912).

Almost surely, 2^22163904000 is an apocalyptic number.

22163904000 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 22163904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47799797760).

22163904000 is an abundant number, since it is smaller than the sum of its proper divisors (73435691520).

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

22163904000 is a wasteful number, since it uses less digits than its factorization.

22163904000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 22163904000 in words is "twenty-two billion, one hundred sixty-three million, nine hundred four thousand".