10829668264933 has 8 divisors (see below), whose sum is σ = 12376849487168. Its totient is φ = 9282508481664.

The previous prime is 10829668264913. The next prime is 10829668264937. The reversal of 10829668264933 is 33946286692801.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10829668264933 - 2⁹ = 10829668264421 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10829668264937) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4262316 + ... + 6310837.

It is an arithmetic number, because the mean of its divisors is an integer number (1547106185896).

Almost surely, 2^{10829668264933} is an apocalyptic number.

It is an amenable number.

10829668264933 is a deficient number, since it is larger than the sum of its proper divisors (1547181222235).

10829668264933 is a wasteful number, since it uses less digits than its factorization.

10829668264933 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10719483.

The product of its (nonzero) digits is 161243136, while the sum is 67.

The spelling of 10829668264933 in words is "ten trillion, eight hundred twenty-nine billion, six hundred sixty-eight million, two hundred sixty-four thousand, nine hundred thirty-three".