20829107348091 has 24 divisors (see below), whose sum is σ = 34406613845760. Its totient is φ = 11894712396336.

The previous prime is 20829107348089. The next prime is 20829107348167. The reversal of 20829107348091 is 19084370192802.

20829107348091 is a `hidden beast` number, since 2 + 0 + 8 + 2 + 9 + 1 + 0 + 73 + 480 + 91 = 666.

It is not a de Polignac number, because 20829107348091 - 2¹ = 20829107348089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20829107348041) 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, 105937945 + ... + 106134378.

It is an arithmetic number, because the mean of its divisors is an integer number (1433608910240).

Almost surely, 2^{20829107348091} is an apocalyptic number.

20829107348091 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

20829107348091 is a deficient number, since it is larger than the sum of its proper divisors (13577506497669).

20829107348091 is a wasteful number, since it uses less digits than its factorization.

20829107348091 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212073895 (or 212073892 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 20829107348091 in words is "twenty trillion, eight hundred twenty-nine billion, one hundred seven million, three hundred forty-eight thousand, ninety-one".