20414718610225 has 27 divisors (see below), whose sum is σ = 25368291622947. Its totient is φ = 16296984247680.

The previous prime is 20414718610213. The next prime is 20414718610267. The reversal of 20414718610225 is 52201681741402.

The square root of 20414718610225 is 4518265.

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

It can be written as a sum of positive squares in 13 ways, for example, as 15687120725809 + 4727597884416 = 3960697^2 + 2174304^2 .

It is not a de Polignac number, because 20414718610225 - 2²⁹ = 20414181739313 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 18276381367 + ... + 18276382483.

Almost surely, 2^{20414718610225} is an apocalyptic number.

20414718610225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

20414718610225 is the 4518265-th square number.

20414718610225 is the 2259133-rd centered octagonal number.

It is an amenable number.

20414718610225 is a deficient number, since it is larger than the sum of its proper divisors (4953573012722).

20414718610225 is an frugal number, since it uses more digits than its factorization.

20414718610225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3862 (or 1931 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 43.

The spelling of 20414718610225 in words is "twenty trillion, four hundred fourteen billion, seven hundred eighteen million, six hundred ten thousand, two hundred twenty-five".