96142594184289 has 27 divisors (see below), whose sum is σ = 139082808220083. Its totient is φ = 63998206697952.

The previous prime is 96142594184251. The next prime is 96142594184311. The reversal of 96142594184289 is 98248149524169.

It is a happy number.

The square root of 96142594184289 is 9805233.

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

96142594184289 is a `hidden beast` number, since 9 + 6 + 1 + 4 + 2 + 594 + 1 + 8 + 4 + 28 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1154023805025 + 94988570379264 = 1074255^2 + 9746208^2 .

It is not a de Polignac number, because 96142594184289 - 2¹⁷ = 96142594053217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (96142594184089) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 23150153037 + ... + 23150157189.

Almost surely, 2^{96142594184289} is an apocalyptic number.

96142594184289 is the 9805233-rd square number.

96142594184289 is the 4902617-th centered octagonal number.

It is an amenable number.

96142594184289 is a deficient number, since it is larger than the sum of its proper divisors (42940214035794).

96142594184289 is an frugal number, since it uses more digits than its factorization.

96142594184289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9886 (or 4943 counting only the distinct ones).

The product of its digits is 358318080, while the sum is 72.

The spelling of 96142594184289 in words is "ninety-six trillion, one hundred forty-two billion, five hundred ninety-four million, one hundred eighty-four thousand, two hundred eighty-nine".