909090909090909 has 96 divisors (see below), whose sum is σ = 1433765058077664. Its totient is φ = 552959911526400.

The previous prime is 909090909090899. The next prime is 909090909090937.

909090909090909 is nontrivially palindromic in base 10.

909090909090909 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 66431465302500 + 842659443788409 = 8150550^2 + 29028597^2 .

It is not a de Polignac number, because 909090909090909 - 2²⁵ = 909090875536477 is a prime.

It is an alternating number because its digits alternate between odd and even.

909090909090909 is an undulating number in base 10.

909090909090909 is a modest number, since divided by 909090909 gives 90909 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (909090909090989) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 151604277 + ... + 157486629.

It is an arithmetic number, because the mean of its divisors is an integer number (14935052688309).

Almost surely, 2^{909090909090909} is an apocalyptic number.

It is an amenable number.

909090909090909 is a deficient number, since it is larger than the sum of its proper divisors (524674148986755).

909090909090909 is a wasteful number, since it uses less digits than its factorization.

909090909090909 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5882687 (or 5882684 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, 90909090 and 9090909, that added together give a palindrome (99999999).

The spelling of 909090909090909 in words is "nine hundred nine trillion, ninety billion, nine hundred nine million, ninety thousand, nine hundred nine".