13518945441 has 15 divisors (see below), whose sum is σ = 20196531201. Its totient is φ = 9011932668.

The previous prime is 13518945413. The next prime is 13518945449. The reversal of 13518945441 is 14454981531.

The square root of 13518945441 is 116271.

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

13518945441 is a `hidden beast` number, since 1 + 3 + 5 + 18 + 94 + 544 + 1 = 666.

13518945441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13518945441 - 2¹¹ = 13518943393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13518945449) 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, 1039980 + ... + 1052898.

Almost surely, 2^13518945441 is an apocalyptic number.

13518945441 is the 116271-st square number.

13518945441 is the 58136-th centered octagonal number.

It is an amenable number.

13518945441 is a deficient number, since it is larger than the sum of its proper divisors (6677585760).

13518945441 is an frugal number, since it uses more digits than its factorization.

13518945441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25850 (or 12922 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The spelling of 13518945441 in words is "thirteen billion, five hundred eighteen million, nine hundred forty-five thousand, four hundred forty-one".