9009000009009 has 324 divisors, whose sum is σ = 18965815268400. Its totient is φ = 4092553745280.

The previous prime is 9009000008993. The next prime is 9009000009049.

9009000009009 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 9009000009009 - 2⁴ = 9009000008993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (9009000009049) by changing a digit.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 171315882 + ... + 171368460.

Almost surely, 2^{9009000009009} is an apocalyptic number.

9009000009009 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

It is an amenable number.

9009000009009 is an abundant number, since it is smaller than the sum of its proper divisors (9956815259391).

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

9009000009009 is a wasteful number, since it uses less digits than its factorization.

9009000009009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52666 (or 52632 counting only the distinct ones).

The product of its (nonzero) digits is 6561, while the sum is 36.

It can be divided in two parts, 900900000 and 9009, that added together give a palindrome (900909009).

The spelling of 9009000009009 in words is "nine trillion, nine billion, nine thousand, nine".