12829073652 has 48 divisors (see below), whose sum is σ = 33288232320. Its totient is φ = 4272800256.

The previous prime is 12829073651. The next prime is 12829073669. The reversal of 12829073652 is 25637092821.

12829073652 is a `hidden beast` number, since 1 + 282 + 9 + 0 + 7 + 365 + 2 = 666.

12829073652 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 12829073598 and 12829073607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12829073651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82633 + ... + 180239.

It is an arithmetic number, because the mean of its divisors is an integer number (693504840).

Almost surely, 2^12829073652 is an apocalyptic number.

12829073652 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12829073652 is an abundant number, since it is smaller than the sum of its proper divisors (20459158668).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12829073652 is a wasteful number, since it uses less digits than its factorization.

12829073652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98837 (or 98829 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 12829073652 in words is "twelve billion, eight hundred twenty-nine million, seventy-three thousand, six hundred fifty-two".