12282438446161 has 27 divisors (see below), whose sum is σ = 13493433408753. Its totient is φ = 11175006591840.

The previous prime is 12282438446153. The next prime is 12282438446167. The reversal of 12282438446161 is 16164483428221.

The square root of 12282438446161 is 3504631.

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

12282438446161 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 4 ways, for example, as 9359432743761 + 2923005702400 = 3059319^2 + 1709680^2 .

It is not a de Polignac number, because 12282438446161 - 2³ = 12282438446153 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12282438446099 and 12282438446108.

It is not an unprimeable number, because it can be changed into a prime (12282438446167) 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, 3234772515 + ... + 3234776311.

Almost surely, 2^{12282438446161} is an apocalyptic number.

12282438446161 is the 3504631-st square number.

12282438446161 is the 1752316-th centered octagonal number.

It is an amenable number.

12282438446161 is a deficient number, since it is larger than the sum of its proper divisors (1210994962592).

12282438446161 is an frugal number, since it uses more digits than its factorization.

12282438446161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7762 (or 3881 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 52.

The spelling of 12282438446161 in words is "twelve trillion, two hundred eighty-two billion, four hundred thirty-eight million, four hundred forty-six thousand, one hundred sixty-one".