8123222016 has 576 divisors, whose sum is σ = 30050092800. Its totient is φ = 2056126464.

The previous prime is 8123221993. The next prime is 8123222027. The reversal of 8123222016 is 6102223218.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 48641965 + ... + 48642131.

It is an arithmetic number, because the mean of its divisors is an integer number (52170300).

Almost surely, 2^8123222016 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 8123222016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15025046400).

8123222016 is an abundant number, since it is smaller than the sum of its proper divisors (21926870784).

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

8123222016 is a wasteful number, since it uses less digits than its factorization.

8123222016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 8123222016 is about 90128.9188662551. The cubic root of 8123222016 is about 2010.2162268313.

The spelling of 8123222016 in words is "eight billion, one hundred twenty-three million, two hundred twenty-two thousand, sixteen".