12829413289 has 27 divisors (see below), whose sum is σ = 16415237853. Its totient is φ = 9990149400.

The previous prime is 12829413287. The next prime is 12829413319. The reversal of 12829413289 is 98231492821.

It is a happy number.

The square root of 12829413289 is 113267.

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

It is not a de Polignac number, because 12829413289 - 2¹ = 12829413287 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (12829413281) 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, 8720824 + ... + 8722294.

Almost surely, 2^12829413289 is an apocalyptic number.

12829413289 is the 113267-th square number.

12829413289 is the 56634-th centered octagonal number.

It is an amenable number.

12829413289 is a deficient number, since it is larger than the sum of its proper divisors (3585824564).

12829413289 is an frugal number, since it uses more digits than its factorization.

12829413289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2978 (or 1489 counting only the distinct ones).

The product of its digits is 497664, while the sum is 49.

Multiplying 12829413289 by its sum of digits (49), we get a square (628641251161 = 792869²).

12829413289 divided by its sum of digits (49) gives a square (261824761 = 16181²).

The spelling of 12829413289 in words is "twelve billion, eight hundred twenty-nine million, four hundred thirteen thousand, two hundred eighty-nine".