8286303220128 has 384 divisors, whose sum is σ = 27445191379200. Its totient is φ = 2416329916416.

The previous prime is 8286303220087. The next prime is 8286303220133. The reversal of 8286303220128 is 8210223036828.

It is a happy number.

8286303220128 is a `hidden beast` number, since 8 + 2 + 8 + 630 + 3 + 2 + 2 + 0 + 1 + 2 + 8 = 666.

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 63 ways as a sum of consecutive naturals, for example, 14510700 + ... + 15070932.

It is an arithmetic number, because the mean of its divisors is an integer number (71471852550).

Almost surely, 2^{8286303220128} 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 8286303220128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13722595689600).

8286303220128 is an abundant number, since it is smaller than the sum of its proper divisors (19158888159072).

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

8286303220128 is a wasteful number, since it uses less digits than its factorization.

8286303220128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560341 (or 560327 counting only the distinct ones).

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

The spelling of 8286303220128 in words is "eight trillion, two hundred eighty-six billion, three hundred three million, two hundred twenty thousand, one hundred twenty-eight".