13404313729 has 3 divisors (see below), whose sum is σ = 13404429507. Its totient is φ = 13404197952.

The previous prime is 13404313717. The next prime is 13404313733. The reversal of 13404313729 is 92731340431.

The square root of 13404313729 is 115777.

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

13404313729 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 92731340431 = 2683 ⋅34562557.

It can be written as a sum of positive squares in only one way, i.e., 1337730625 + 12066583104 = 36575^2 + 109848^2 .

It is not a de Polignac number, because 13404313729 - 2¹⁵ = 13404280961 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13404373729) 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 2 ways as a sum of consecutive naturals, for example, 57889 + ... + 173665.

It is an arithmetic number, because the mean of its divisors is an integer number (4468143169).

Almost surely, 2^13404313729 is an apocalyptic number.

13404313729 is the 115777-th square number.

13404313729 is the 57889-th centered octagonal number.

It is an amenable number.

13404313729 is a deficient number, since it is larger than the sum of its proper divisors (115778).

13404313729 is an frugal number, since it uses more digits than its factorization.

13404313729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231554 (or 115777 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 37.

The spelling of 13404313729 in words is "thirteen billion, four hundred four million, three hundred thirteen thousand, seven hundred twenty-nine".