160864168116753 has 12 divisors (see below), whose sum is σ = 234491091140020. Its totient is φ = 106258900039776.

The previous prime is 160864168116731. The next prime is 160864168116763. The reversal of 160864168116753 is 357611861468061.

160864168116753 is a `hidden beast` number, since 1 + 6 + 0 + 8 + 6 + 416 + 8 + 1 + 167 + 53 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 39698165219904 + 121166002896849 = 6300648^2 + 11007543^2 .

It is not a de Polignac number, because 160864168116753 - 2¹⁴ = 160864168100369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (160864168116713) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81989891026 + ... + 81989892987.

Almost surely, 2^{160864168116753} is an apocalyptic number.

It is an amenable number.

160864168116753 is a deficient number, since it is larger than the sum of its proper divisors (73626923023267).

160864168116753 is a wasteful number, since it uses less digits than its factorization.

160864168116753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163979784128 (or 163979784125 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 160864168116753 in words is "one hundred sixty trillion, eight hundred sixty-four billion, one hundred sixty-eight million, one hundred sixteen thousand, seven hundred fifty-three".