8256271228416 has 240 divisors, whose sum is σ = 23924187535248. Its totient is φ = 2741015347200.

The previous prime is 8256271228349. The next prime is 8256271228423. The reversal of 8256271228416 is 6148221726528.

8256271228416 is a `hidden beast` number, since 8 + 2 + 5 + 627 + 1 + 2 + 2 + 8 + 4 + 1 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2645391336 + ... + 2645394456.

Almost surely, 2^{8256271228416} 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 8256271228416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11962093767624).

8256271228416 is an abundant number, since it is smaller than the sum of its proper divisors (15667916306832).

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

8256271228416 is a wasteful number, since it uses less digits than its factorization.

8256271228416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5273 (or 5254 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 54.

The spelling of 8256271228416 in words is "eight trillion, two hundred fifty-six billion, two hundred seventy-one million, two hundred twenty-eight thousand, four hundred sixteen".