12824413292161 has 9 divisors (see below), whose sum is σ = 13180522960899. Its totient is φ = 12477678607224.

The previous prime is 12824413292147. The next prime is 12824413292231. The reversal of 12824413292161 is 16129231442821.

The square root of 12824413292161 is 3581119.

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

It can be written as a sum of positive squares in only one way, i.e., 11475461127025 + 1348952165136 = 3387545^2 + 1161444^2 .

It is not a de Polignac number, because 12824413292161 - 2¹¹ = 12824413290113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12824413292861) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 132453010 + ... + 132549796.

It is an arithmetic number, because the mean of its divisors is an integer number (1464502551211).

Almost surely, 2^{12824413292161} is an apocalyptic number.

12824413292161 is the 3581119-th square number.

12824413292161 is the 1790560-th centered octagonal number.

It is an amenable number.

12824413292161 is a deficient number, since it is larger than the sum of its proper divisors (356109668738).

12824413292161 is an frugal number, since it uses more digits than its factorization.

12824413292161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193648 (or 96824 counting only the distinct ones).

The product of its digits is 331776, while the sum is 46.

The spelling of 12824413292161 in words is "twelve trillion, eight hundred twenty-four billion, four hundred thirteen million, two hundred ninety-two thousand, one hundred sixty-one".