8022444442208 has 96 divisors (see below), whose sum is σ = 18091117171008. Its totient is φ = 3430462464000.

The previous prime is 8022444442147. The next prime is 8022444442273.

8022444442208 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×8022444442208² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 186977558 + ... + 187020458.

It is an arithmetic number, because the mean of its divisors is an integer number (188449137198).

Almost surely, 2^{8022444442208} is an apocalyptic number.

It is an amenable number.

8022444442208 is an abundant number, since it is smaller than the sum of its proper divisors (10068672728800).

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

8022444442208 is a wasteful number, since it uses less digits than its factorization.

8022444442208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44776 (or 44768 counting only the distinct ones).

The product of its (nonzero) digits is 1048576, while the sum is 44.

The spelling of 8022444442208 in words is "eight trillion, twenty-two billion, four hundred forty-four million, four hundred forty-two thousand, two hundred eight".