8005226496 has 208 divisors, whose sum is σ = 22193547264. Its totient is φ = 2564718592.

The previous prime is 8005226483. The next prime is 8005226513. The reversal of 8005226496 is 6946225008.

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 15 ways as a sum of consecutive naturals, for example, 47935405 + ... + 47935571.

Almost surely, 2^8005226496 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 8005226496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11096773632).

8005226496 is an abundant number, since it is smaller than the sum of its proper divisors (14188320768).

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

8005226496 is a wasteful number, since it uses less digits than its factorization.

8005226496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 8005226496 is about 89471.9313304458. The cubic root of 8005226496 is about 2000.4354465196.

The spelling of 8005226496 in words is "eight billion, five million, two hundred twenty-six thousand, four hundred ninety-six".