14516153289 has 45 divisors (see below), whose sum is σ = 23854766551. Its totient is φ = 8790439680.

The previous prime is 14516153287. The next prime is 14516153293. The reversal of 14516153289 is 98235161541.

It is a happy number.

The square root of 14516153289 is 120483.

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

14516153289 is a `hidden beast` number, since 1 + 4 + 5 + 1 + 615 + 3 + 28 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4871342025 + 9644811264 = 69795^2 + 98208^2 .

It is not a de Polignac number, because 14516153289 - 2¹ = 14516153287 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (14516153287) 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 44 ways as a sum of consecutive naturals, for example, 11927209 + ... + 11928425.

Almost surely, 2^14516153289 is an apocalyptic number.

14516153289 is the 120483-rd square number.

14516153289 is the 60242-nd centered octagonal number.

It is an amenable number.

14516153289 is a deficient number, since it is larger than the sum of its proper divisors (9338613262).

14516153289 is an frugal number, since it uses more digits than its factorization.

14516153289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2468 (or 1231 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The spelling of 14516153289 in words is "fourteen billion, five hundred sixteen million, one hundred fifty-three thousand, two hundred eighty-nine".