12638481241 has 15 divisors (see below), whose sum is σ = 13462985851. Its totient is φ = 11864462656.

The previous prime is 12638481217. The next prime is 12638481259. The reversal of 12638481241 is 14218483621.

The square root of 12638481241 is 112421.

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

It can be written as a sum of positive squares in 7 ways, for example, as 2618471241 + 10020010000 = 51171^2 + 100100^2 .

It is not a de Polignac number, because 12638481241 - 2¹¹ = 12638479193 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12638481194 and 12638481203.

It is not an unprimeable number, because it can be changed into a prime (12638484241) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 32489475 + ... + 32489863.

Almost surely, 2^12638481241 is an apocalyptic number.

12638481241 is the 112421-st square number.

12638481241 is the 56211-st centered octagonal number.

It is an amenable number.

12638481241 is a deficient number, since it is larger than the sum of its proper divisors (824504610).

12638481241 is an frugal number, since it uses more digits than its factorization.

12638481241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846 (or 406 counting only the distinct ones).

The product of its digits is 73728, while the sum is 40.

The spelling of 12638481241 in words is "twelve billion, six hundred thirty-eight million, four hundred eighty-one thousand, two hundred forty-one".