22000630886208 has 672 divisors, whose sum is σ = 71695628353440. Its totient is φ = 6409854517248.

The previous prime is 22000630886173. The next prime is 22000630886209. The reversal of 22000630886208 is 80268803600022.

22000630886208 is a `hidden beast` number, since 2 + 2 + 0 + 0 + 0 + 630 + 8 + 8 + 6 + 2 + 0 + 8 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 7129797148224 + 14870833737984 = 2670168^2 + 3856272^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22000630886209) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9679114960 + ... + 9679117232.

It is an arithmetic number, because the mean of its divisors is an integer number (106689923145).

Almost surely, 2^{22000630886208} 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 22000630886208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35847814176720).

22000630886208 is an abundant number, since it is smaller than the sum of its proper divisors (49694997467232).

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

22000630886208 is a wasteful number, since it uses less digits than its factorization.

22000630886208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2444 (or 2373 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 22000630886208 in words is "twenty-two trillion, six hundred thirty million, eight hundred eighty-six thousand, two hundred eight".