12829164921009 has 24 divisors (see below), whose sum is σ = 18805769573760. Its totient is φ = 8426430930528.

The previous prime is 12829164920941. The next prime is 12829164921077. The reversal of 12829164921009 is 90012946192821.

12829164921009 is a `hidden beast` number, since 1 + 28 + 29 + 1 + 6 + 492 + 100 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (12829164920941) and next prime (12829164921077).

It is not a de Polignac number, because 12829164921009 - 2⁸ = 12829164920753 is a prime.

It is a super-2 number, since 2×12829164921009² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12829164921709) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18986842 + ... + 19650915.

It is an arithmetic number, because the mean of its divisors is an integer number (783573732240).

Almost surely, 2^{12829164921009} is an apocalyptic number.

It is an amenable number.

12829164921009 is a deficient number, since it is larger than the sum of its proper divisors (5976604652751).

12829164921009 is a wasteful number, since it uses less digits than its factorization.

12829164921009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38638309 (or 38638306 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 12829164921009 in words is "twelve trillion, eight hundred twenty-nine billion, one hundred sixty-four million, nine hundred twenty-one thousand, nine".