205713381747168 has 96 divisors (see below), whose sum is σ = 600002881380000. Its totient is φ = 68570496626688.

The previous prime is 205713381747091. The next prime is 205713381747233. The reversal of 205713381747168 is 861747183317502.

205713381747168 is a `hidden beast` number, since 2 + 0 + 5 + 7 + 1 + 338 + 174 + 71 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98105680 + ... + 100180592.

It is an arithmetic number, because the mean of its divisors is an integer number (6250030014375).

Almost surely, 2^{205713381747168} is an apocalyptic number.

It is an amenable number.

205713381747168 is an abundant number, since it is smaller than the sum of its proper divisors (394289499632832).

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

205713381747168 is a wasteful number, since it uses less digits than its factorization.

205713381747168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2189681 (or 2189667 counting only the distinct ones).

The product of its (nonzero) digits is 47416320, while the sum is 63.

The spelling of 205713381747168 in words is "two hundred five trillion, seven hundred thirteen billion, three hundred eighty-one million, seven hundred forty-seven thousand, one hundred sixty-eight".