12436041289 has 27 divisors (see below), whose sum is σ = 14712978567. Its totient is φ = 10480813728.

The previous prime is 12436041287. The next prime is 12436041301. The reversal of 12436041289 is 98214063421.

The square root of 12436041289 is 111517.

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., 2387983689 + 10048057600 = 48867^2 + 100240^2 .

It is not a de Polignac number, because 12436041289 - 2¹ = 12436041287 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12436041287) 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, 69475002 + ... + 69475180.

Almost surely, 2^12436041289 is an apocalyptic number.

12436041289 is the 111517-th square number.

12436041289 is the 55759-th centered octagonal number.

It is an amenable number.

12436041289 is a deficient number, since it is larger than the sum of its proper divisors (2276937278).

12436041289 is an frugal number, since it uses more digits than its factorization.

12436041289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

It can be divided in two parts, 124360 and 41289, that added together give a square (165649 = 407²).

The spelling of 12436041289 in words is "twelve billion, four hundred thirty-six million, forty-one thousand, two hundred eighty-nine".