9000000000009 has 24 divisors (see below), whose sum is σ = 13274272705512. Its totient is φ = 5874612480000.

The previous prime is 8999999999993. The next prime is 9000000000059.

9000000000009 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 5108829513984 + 3891170486025 = 2260272^2 + 1972605^2 .

It is not a de Polignac number, because 9000000000009 - 2⁴ = 8999999999993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 8999999999910 and 9000000000000.

It is not an unprimeable number, because it can be changed into a prime (9000000000059) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49904992 + ... + 50085009.

It is an arithmetic number, because the mean of its divisors is an integer number (553094696063).

Almost surely, 2^{9000000000009} is an apocalyptic number.

It is an amenable number.

9000000000009 is a deficient number, since it is larger than the sum of its proper divisors (4274272705503).

9000000000009 is a wasteful number, since it uses less digits than its factorization.

9000000000009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99990217 (or 99990214 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

It can be divided in two parts, 900000000000 and 9, that added together give a palindrome (900000000009).

The spelling of 9000000000009 in words is "nine trillion, nine", and thus it is an aban number and an uban number.