22282089182208 has 1056 divisors, whose sum is σ = 69849404352000. Its totient is φ = 7090278727680.

The previous prime is 22282089182191. The next prime is 22282089182263. The reversal of 22282089182208 is 80228198028222.

It is a happy number.

22282089182208 is a `hidden beast` number, since 2 + 2 + 282 + 0 + 89 + 1 + 82 + 208 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 124480945063 + ... + 124480945241.

Almost surely, 2^{22282089182208} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22282089182208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34924702176000).

22282089182208 is an abundant number, since it is smaller than the sum of its proper divisors (47567315169792).

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

22282089182208 is a wasteful number, since it uses less digits than its factorization.

22282089182208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 54.

The spelling of 22282089182208 in words is "twenty-two trillion, two hundred eighty-two billion, eighty-nine million, one hundred eighty-two thousand, two hundred eight".