208056734127 has 48 divisors (see below), whose sum is σ = 335083806720. Its totient is φ = 123339585600.

The previous prime is 208056734117. The next prime is 208056734129. The reversal of 208056734127 is 721437650802.

208056734127 is a `hidden beast` number, since 2 + 0 + 80 + 567 + 3 + 4 + 1 + 2 + 7 = 666.

208056734127 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 208056734127 - 2⁴ = 208056734111 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208056734129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 776149 + ... + 1009217.

It is an arithmetic number, because the mean of its divisors is an integer number (6980912640).

Almost surely, 2^208056734127 is an apocalyptic number.

208056734127 is a deficient number, since it is larger than the sum of its proper divisors (127027072593).

208056734127 is a wasteful number, since it uses less digits than its factorization.

208056734127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233284 (or 233281 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 208056734127 in words is "two hundred eight billion, fifty-six million, seven hundred thirty-four thousand, one hundred twenty-seven".