12671329489 has 27 divisors (see below), whose sum is σ = 15974106417. Its totient is φ = 10017562464.

The previous prime is 12671329481. The next prime is 12671329529. The reversal of 12671329489 is 98492317621.

The square root of 12671329489 is 112567.

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 189971089 + 12481358400 = 13783^2 + 111720^2 .

It is not a de Polignac number, because 12671329489 - 2³ = 12671329481 is a prime.

It is a super-2 number, since 2×12671329489² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12671329481) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10242979 + ... + 10244215.

It is an arithmetic number, because the mean of its divisors is an integer number (591633571).

Almost surely, 2^12671329489 is an apocalyptic number.

12671329489 is the 112567-th square number.

12671329489 is the 56284-th centered octagonal number.

It is an amenable number.

12671329489 is a deficient number, since it is larger than the sum of its proper divisors (3302776928).

12671329489 is an frugal number, since it uses more digits than its factorization.

12671329489 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2514 (or 1257 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 52.

The spelling of 12671329489 in words is "twelve billion, six hundred seventy-one million, three hundred twenty-nine thousand, four hundred eighty-nine".