8009009009008 has 40 divisors (see below), whose sum is σ = 17734438637568. Its totient is φ = 3432392870592.

The previous prime is 8009009008933. The next prime is 8009009009041.

8009009009008 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

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, 10673985 + ... + 11399647.

Almost surely, 2^{8009009009008} is an apocalyptic number.

It is an amenable number.

8009009009008 is an abundant number, since it is smaller than the sum of its proper divisors (9725429628560).

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

8009009009008 is a wasteful number, since it uses less digits than its factorization.

8009009009008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824221 (or 824215 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 43.

The spelling of 8009009009008 in words is "eight trillion, nine billion, nine million, nine thousand, eight".