8281578848256 has 420 divisors, whose sum is σ = 28380421942992. Its totient is φ = 2366141497344.

The previous prime is 8281578848251. The next prime is 8281578848321. The reversal of 8281578848256 is 6528488751828.

8281578848256 is a `hidden beast` number, since 8 + 2 + 8 + 1 + 578 + 8 + 48 + 2 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (8281578848251) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 83558026 + ... + 83657078.

Almost surely, 2^{8281578848256} 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 8281578848256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14190210971496).

8281578848256 is an abundant number, since it is smaller than the sum of its proper divisors (20098843094736).

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

8281578848256 is an frugal number, since it uses more digits than its factorization.

8281578848256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99106 (or 99065 counting only the distinct ones).

The product of its digits is 550502400, while the sum is 72.

The spelling of 8281578848256 in words is "eight trillion, two hundred eighty-one billion, five hundred seventy-eight million, eight hundred forty-eight thousand, two hundred fifty-six".