11904935824609 has 9 divisors (see below), whose sum is σ = 12133981782489. Its totient is φ = 11680134975600.

The previous prime is 11904935824577. The next prime is 11904935824657. The reversal of 11904935824609 is 90642853940911.

The square root of 11904935824609 is 3450353.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3926163917025 + 7978771907584 = 1981455^2 + 2824672^2 .

It is not a de Polignac number, because 11904935824609 - 2⁵ = 11904935824577 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11904935824009) 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 8 ways as a sum of consecutive naturals, for example, 182836159 + ... + 182901259.

Almost surely, 2^{11904935824609} is an apocalyptic number.

11904935824609 is the 3450353-rd square number.

11904935824609 is the 1725177-th centered octagonal number.

It is an amenable number.

11904935824609 is a deficient number, since it is larger than the sum of its proper divisors (229045957880).

11904935824609 is an frugal number, since it uses more digits than its factorization.

11904935824609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130308 (or 65154 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 61.

The spelling of 11904935824609 in words is "eleven trillion, nine hundred four billion, nine hundred thirty-five million, eight hundred twenty-four thousand, six hundred nine".