9000900090009 has 48 divisors (see below), whose sum is σ = 14056520177232. Its totient is φ = 5529599115264.

The previous prime is 9000900089989. The next prime is 9000900090011.

9000900090009 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 1197704793609 + 7803195296400 = 1094397^2 + 2793420^2 .

It is not a de Polignac number, because 9000900090009 - 2¹² = 9000900085913 is a prime.

9000900090009 is a modest number, since divided by 900090009 gives 9 as remainder.

It is not an unprimeable number, because it can be changed into a prime (9000900090059) 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, 1411024 + ... + 4471329.

It is an arithmetic number, because the mean of its divisors is an integer number (292844170359).

Almost surely, 2^{9000900090009} is an apocalyptic number.

It is an amenable number.

9000900090009 is a deficient number, since it is larger than the sum of its proper divisors (5055620087223).

9000900090009 is a wasteful number, since it uses less digits than its factorization.

9000900090009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5882586 (or 5882583 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, 90009000 and 90009, that added together give a palindrome (90099009).

The spelling of 9000900090009 in words is "nine trillion, nine hundred million, ninety thousand, nine".