9000008000009 has 8 divisors (see below), whose sum is σ = 9741515885640. Its totient is φ = 8265528625536.

The previous prime is 9000007999921. The next prime is 9000008000029.

It is a happy number.

9000008000009 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 1058320390009 + 7941687610000 = 1028747^2 + 2818100^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 9000008000009 - 2³⁶ = 8931288523273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9000008000029) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1757125124 + ... + 1757130245.

It is an arithmetic number, because the mean of its divisors is an integer number (1217689485705).

Almost surely, 2^{9000008000009} is an apocalyptic number.

It is an amenable number.

9000008000009 is a deficient number, since it is larger than the sum of its proper divisors (741507885631).

9000008000009 is a wasteful number, since it uses less digits than its factorization.

9000008000009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3514255579.

The product of its (nonzero) digits is 648, while the sum is 26.

The spelling of 9000008000009 in words is "nine trillion, eight million, nine", and thus it is an aban number and an uban number.