90900999900909 has 72 divisors (see below), whose sum is σ = 144700705055712. Its totient is φ = 54534546000000.

The previous prime is 90900999900853. The next prime is 90900999900929.

90900999900909 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 90900999900909 - 2⁸ = 90900999900653 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90900999900929) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9180986859 + ... + 9180996759.

Almost surely, 2^{90900999900909} is an apocalyptic number.

90900999900909 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

It is an amenable number.

90900999900909 is a deficient number, since it is larger than the sum of its proper divisors (53799705154803).

90900999900909 is a wasteful number, since it uses less digits than its factorization.

90900999900909 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19211 (or 19107 counting only the distinct ones).

The product of its (nonzero) digits is 43046721, while the sum is 72.

The spelling of 90900999900909 in words is "ninety trillion, nine hundred billion, nine hundred ninety-nine million, nine hundred thousand, nine hundred nine".