163585967345329 has 81 divisors (see below), whose sum is σ = 179955446776833. Its totient is φ = 148692272668800.

The previous prime is 163585967345327. The next prime is 163585967345357. The reversal of 163585967345329 is 923543769585361.

The square root of 163585967345329 is 12790073.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 43198111165729 + 120387856179600 = 6572527^2 + 10972140^2 .

It is not a de Polignac number, because 163585967345329 - 2¹ = 163585967345327 is a prime.

It is a Duffinian number.

Its product of digits (4408992000) is a multiple of the sum of its prime divisors (448).

It is not an unprimeable number, because it can be changed into a prime (163585967345327) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 471429300534 + ... + 471429300880.

Almost surely, 2^{163585967345329} is an apocalyptic number.

163585967345329 is the 12790073-rd square number.

163585967345329 is the 6395037-th centered octagonal number.

It is an amenable number.

163585967345329 is a deficient number, since it is larger than the sum of its proper divisors (16369479431504).

163585967345329 is an frugal number, since it uses more digits than its factorization.

163585967345329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896 (or 448 counting only the distinct ones).

The product of its digits is 4408992000, while the sum is 76.

The spelling of 163585967345329 in words is "one hundred sixty-three trillion, five hundred eighty-five billion, nine hundred sixty-seven million, three hundred forty-five thousand, three hundred twenty-nine".