9990900090999 has 12 divisors (see below), whose sum is σ = 14605171218456. Its totient is φ = 6580351866672.

The previous prime is 9990900090947. The next prime is 9990900091031.

9990900090999 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-9990900090999 is a prime.

It is a super-3 number, since 3×9990900090999³ (a number of 40 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (72) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9990900090599) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6687348712 + ... + 6687350205.

It is an arithmetic number, because the mean of its divisors is an integer number (1217097601538).

Almost surely, 2^{9990900090999} is an apocalyptic number.

9990900090999 is a deficient number, since it is larger than the sum of its proper divisors (4614271127457).

9990900090999 is a wasteful number, since it uses less digits than its factorization.

9990900090999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13374699006 (or 13374699003 counting only the distinct ones).

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

It can be divided in two parts, 99909000 and 90999, that added together give a palindrome (99999999).

The spelling of 9990900090999 in words is "nine trillion, nine hundred ninety billion, nine hundred million, ninety thousand, nine hundred ninety-nine".