8057443456 has 64 divisors (see below), whose sum is σ = 16309188000. Its totient is φ = 3964549120.

The previous prime is 8057443447. The next prime is 8057443469. The reversal of 8057443456 is 6543447508.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2983995 + ... + 2986693.

Almost surely, 2^8057443456 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 8057443456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8154594000).

8057443456 is an abundant number, since it is smaller than the sum of its proper divisors (8251744544).

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

8057443456 is a wasteful number, since it uses less digits than its factorization.

8057443456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3077 (or 3065 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 46.

The square root of 8057443456 is about 89763.2633987869. The cubic root of 8057443456 is about 2004.7755426868.

The spelling of 8057443456 in words is "eight billion, fifty-seven million, four hundred forty-three thousand, four hundred fifty-six".