9009009009009 has 48 divisors (see below), whose sum is σ = 13811197790208. Its totient is φ = 5649575040000.

The previous prime is 9009009008981. The next prime is 9009009009041.

9009009009009 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 9009009009009 - 2⁹ = 9009009008497 is a prime.

9009009009009 is a modest number, since divided by 9009009 gives 9009 as remainder.

It is not an unprimeable number, because it can be changed into a prime (9009009059009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1646889 + ... + 4553049.

It is an arithmetic number, because the mean of its divisors is an integer number (287733287296).

Almost surely, 2^{9009009009009} is an apocalyptic number.

It is an amenable number.

9009009009009 is a deficient number, since it is larger than the sum of its proper divisors (4802188781199).

9009009009009 is a wasteful number, since it uses less digits than its factorization.

9009009009009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2906510 (or 2906507 counting only the distinct ones).

The product of its (nonzero) digits is 59049, while the sum is 45.

The spelling of 9009009009009 in words is "nine trillion, nine billion, nine million, nine thousand, nine".