8167448256 has 56 divisors (see below), whose sum is σ = 23574231744. Its totient is φ = 2474983680.

The previous prime is 8167448249. The next prime is 8167448273. The reversal of 8167448256 is 6528447618.

It is a super-2 number, since 2×8167448256² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 8167448199 and 8167448208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1931470 + ... + 1935693.

It is an arithmetic number, because the mean of its divisors is an integer number (420968424).

Almost surely, 2^8167448256 is an apocalyptic number.

It is an amenable number.

8167448256 is an abundant number, since it is smaller than the sum of its proper divisors (15406783488).

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

8167448256 is a wasteful number, since it uses less digits than its factorization.

8167448256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3867189 (or 3867179 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 51.

The square root of 8167448256 is about 90373.9357115756. The cubic root of 8167448256 is about 2013.8577805243.

The spelling of 8167448256 in words is "eight billion, one hundred sixty-seven million, four hundred forty-eight thousand, two hundred fifty-six".