12854344129 has 15 divisors (see below), whose sum is σ = 14154797235. Its totient is φ = 11673295920.

The previous prime is 12854344123. The next prime is 12854344169. The reversal of 12854344129 is 92144345821.

The square root of 12854344129 is 113377.

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., 676780225 + 12177563904 = 26015^2 + 110352^2 .

It is not a de Polignac number, because 12854344129 - 2²¹ = 12852246977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12854344123) 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, 13718149 + ... + 13719085.

It is an arithmetic number, because the mean of its divisors is an integer number (943653149).

Almost surely, 2^12854344129 is an apocalyptic number.

12854344129 is the 113377-th square number.

12854344129 is the 56689-th centered octagonal number.

It is an amenable number.

12854344129 is a deficient number, since it is larger than the sum of its proper divisors (1300453106).

12854344129 is an frugal number, since it uses more digits than its factorization.

12854344129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1918 (or 948 counting only the distinct ones).

The product of its digits is 276480, while the sum is 43.

The spelling of 12854344129 in words is "twelve billion, eight hundred fifty-four million, three hundred forty-four thousand, one hundred twenty-nine".