14415516225 has 144 divisors (see below), whose sum is σ = 29802913920. Its totient is φ = 6591974400.

The previous prime is 14415516221. The next prime is 14415516259. The reversal of 14415516225 is 52261551441.

14415516225 is a `hidden beast` number, since 1 + 4 + 41 + 551 + 62 + 2 + 5 = 666.

14415516225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 14415516225 - 2² = 14415516221 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 14415516225.

It is not an unprimeable number, because it can be changed into a prime (14415516221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4153791 + ... + 4157259.

It is an arithmetic number, because the mean of its divisors is an integer number (206964680).

Almost surely, 2^14415516225 is an apocalyptic number.

14415516225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14415516225 is an abundant number, since it is smaller than the sum of its proper divisors (15387397695).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14415516225 is a wasteful number, since it uses less digits than its factorization.

14415516225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3592 (or 3584 counting only the distinct ones).

The product of its digits is 48000, while the sum is 36.

The spelling of 14415516225 in words is "fourteen billion, four hundred fifteen million, five hundred sixteen thousand, two hundred twenty-five".