8227991408256 has 256 divisors, whose sum is σ = 25465532976000. Its totient is φ = 2611811672064.

The previous prime is 8227991408249. The next prime is 8227991408311. The reversal of 8227991408256 is 6528041997228.

8227991408256 is a `hidden beast` number, since 8 + 22 + 79 + 91 + 408 + 2 + 56 = 666.

It is a super-2 number, since 2×8227991408256² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8227991408193 and 8227991408202.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6754051 + ... + 7878653.

Almost surely, 2^{8227991408256} 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 8227991408256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12732766488000).

8227991408256 is an abundant number, since it is smaller than the sum of its proper divisors (17237541567744).

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

8227991408256 is a wasteful number, since it uses less digits than its factorization.

8227991408256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124728 (or 1124710 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 8227991408256 in words is "eight trillion, two hundred twenty-seven billion, nine hundred ninety-one million, four hundred eight thousand, two hundred fifty-six".