9000090900009 has 36 divisors (see below), whose sum is σ = 14290988058256. Its totient is φ = 5453994546000.

The previous prime is 9000090899959. The next prime is 9000090900011.

9000090900009 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 9000090900009 - 2⁷ = 9000090899881 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9000090900709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9445554 + ... + 10354644.

Almost surely, 2^{9000090900009} is an apocalyptic number.

9000090900009 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

It is an amenable number.

9000090900009 is a deficient number, since it is larger than the sum of its proper divisors (5290897158247).

9000090900009 is a wasteful number, since it uses less digits than its factorization.

9000090900009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918210 (or 918196 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, 9000090 and 900009, that added together give a palindrome (9900099).

The spelling of 9000090900009 in words is "nine trillion, ninety million, nine hundred thousand, nine".