14288616225 has 81 divisors (see below), whose sum is σ = 27757869867. Its totient is φ = 7022920320.

The previous prime is 14288616107. The next prime is 14288616247. The reversal of 14288616225 is 52261688241.

The square root of 14288616225 is 119535.

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

14288616225 is a `hidden beast` number, since 1 + 4 + 2 + 8 + 8 + 616 + 2 + 25 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 11295650961 + 2992965264 = 106281^2 + 54708^2 .

It is not a de Polignac number, because 14288616225 - 2²¹ = 14286519073 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

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 80 ways as a sum of consecutive naturals, for example, 23309019 + ... + 23309631.

Almost surely, 2^14288616225 is an apocalyptic number.

14288616225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

14288616225 is the 119535-th square number.

14288616225 is the 59768-th centered octagonal number.

It is an amenable number.

14288616225 is a deficient number, since it is larger than the sum of its proper divisors (13469253642).

14288616225 is an equidigital number, since it uses as much as digits as its factorization.

14288616225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1268 (or 634 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The spelling of 14288616225 in words is "fourteen billion, two hundred eighty-eight million, six hundred sixteen thousand, two hundred twenty-five".