22282264467216 has 480 divisors, whose sum is σ = 72809509893120. Its totient is φ = 6298454163456.

The previous prime is 22282264467209. The next prime is 22282264467247. The reversal of 22282264467216 is 61276446228222.

22282264467216 is a `hidden beast` number, since 2 + 22 + 82 + 2 + 64 + 467 + 21 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2407067260 + ... + 2407076516.

It is an arithmetic number, because the mean of its divisors is an integer number (151686478944).

Almost surely, 2^{22282264467216} is an apocalyptic number.

22282264467216 is a gapful number since it is divisible by the number (26) 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 22282264467216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36404754946560).

22282264467216 is an abundant number, since it is smaller than the sum of its proper divisors (50527245425904).

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

22282264467216 is a wasteful number, since it uses less digits than its factorization.

22282264467216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11103 (or 11094 counting only the distinct ones).

The product of its digits is 12386304, while the sum is 54.

The spelling of 22282264467216 in words is "twenty-two trillion, two hundred eighty-two billion, two hundred sixty-four million, four hundred sixty-seven thousand, two hundred sixteen".