8028664542224 has 120 divisors (see below), whose sum is σ = 16991750583360. Its totient is φ = 3670118597376.

The previous prime is 8028664542191. The next prime is 8028664542289. The reversal of 8028664542224 is 4222454668208.

It is a super-2 number, since 2×8028664542224² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 379720997 + ... + 379742139.

It is an arithmetic number, because the mean of its divisors is an integer number (141597921528).

Almost surely, 2^{8028664542224} 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 8028664542224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8495875291680).

8028664542224 is an abundant number, since it is smaller than the sum of its proper divisors (8963086041136).

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

8028664542224 is a wasteful number, since it uses less digits than its factorization.

8028664542224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23485 (or 23460 counting only the distinct ones).

The product of its (nonzero) digits is 11796480, while the sum is 53.

The spelling of 8028664542224 in words is "eight trillion, twenty-eight billion, six hundred sixty-four million, five hundred forty-two thousand, two hundred twenty-four".