8005013456 has 60 divisors (see below), whose sum is σ = 17153131296. Its totient is φ = 3616176960.

The previous prime is 8005013447. The next prime is 8005013461. The reversal of 8005013456 is 6543105008.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 302885 + ... + 328251.

Almost surely, 2^8005013456 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 8005013456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8576565648).

8005013456 is an abundant number, since it is smaller than the sum of its proper divisors (9148117840).

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

8005013456 is a wasteful number, since it uses less digits than its factorization.

8005013456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25560 (or 25543 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 8005013456 is about 89470.7407815538. The cubic root of 8005013456 is about 2000.4177007570.

The spelling of 8005013456 in words is "eight billion, five million, thirteen thousand, four hundred fifty-six".