13349282546889 has 81 divisors (see below), whose sum is σ = 20518944997863. Its totient is φ = 8684269560288.

The previous prime is 13349282546837. The next prime is 13349282546981. The reversal of 13349282546889 is 98864528294331.

The square root of 13349282546889 is 3653667.

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

13349282546889 is a `hidden beast` number, since 1 + 3 + 3 + 4 + 9 + 2 + 82 + 5 + 468 + 89 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12107038553289 + 1242243993600 = 3479517^2 + 1114560^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 13349282546889 - 2³³ = 13340692612297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13349282544889) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 12725721637 + ... + 12725722685.

Almost surely, 2^{13349282546889} is an apocalyptic number.

13349282546889 is the 3653667-th square number.

13349282546889 is the 1826834-th centered octagonal number.

It is an amenable number.

13349282546889 is a deficient number, since it is larger than the sum of its proper divisors (7169662450974).

13349282546889 is an frugal number, since it uses more digits than its factorization.

13349282546889 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2208 (or 1095 counting only the distinct ones).

The product of its digits is 716636160, while the sum is 72.

The spelling of 13349282546889 in words is "thirteen trillion, three hundred forty-nine billion, two hundred eighty-two million, five hundred forty-six thousand, eight hundred eighty-nine".