8006809444256 has 48 divisors (see below), whose sum is σ = 18018222134976. Its totient is φ = 3430937212416.

The previous prime is 8006809444253. The next prime is 8006809444303. The reversal of 8006809444256 is 6524449086008.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (8006809444253) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1482146 + ... + 4267361.

It is an arithmetic number, because the mean of its divisors is an integer number (375379627812).

Almost surely, 2^{8006809444256} is an apocalyptic number.

It is an amenable number.

8006809444256 is an abundant number, since it is smaller than the sum of its proper divisors (10011412690720).

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

8006809444256 is a wasteful number, since it uses less digits than its factorization.

8006809444256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5755741 (or 5755733 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 56.

The spelling of 8006809444256 in words is "eight trillion, six billion, eight hundred nine million, four hundred forty-four thousand, two hundred fifty-six".