13338633049 has 15 divisors (see below), whose sum is σ = 15567417407. Its totient is φ = 11428263336.

The previous prime is 13338633031. The next prime is 13338633079. The reversal of 13338633049 is 94033683331.

The square root of 13338633049 is 115493.

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

13338633049 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 only one way, i.e., 2425070025 + 10913563024 = 49245^2 + 104468^2 .

It is not a de Polignac number, because 13338633049 - 2⁵ = 13338633017 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13338632996 and 13338633014.

It is not an unprimeable number, because it can be changed into a prime (13338633019) 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 14 ways as a sum of consecutive naturals, for example, 5657979 + ... + 5660335.

Almost surely, 2^13338633049 is an apocalyptic number.

13338633049 is the 115493-rd square number.

13338633049 is the 57747-th centered octagonal number.

It is an amenable number.

13338633049 is a deficient number, since it is larger than the sum of its proper divisors (2228784358).

13338633049 is an frugal number, since it uses more digits than its factorization.

13338633049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4742 (or 2364 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 43.

The spelling of 13338633049 in words is "thirteen billion, three hundred thirty-eight million, six hundred thirty-three thousand, forty-nine".