1817144440225 has 27 divisors (see below), whose sum is σ = 2393751443097. Its totient is φ = 1368116599680.

The previous prime is 1817144440217. The next prime is 1817144440283. The reversal of 1817144440225 is 5220444417181.

The square root of 1817144440225 is 1348015.

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

It can be written as a sum of positive squares in 4 ways, for example, as 42504831889 + 1774639608336 = 206167^2 + 1332156^2 .

It is not a de Polignac number, because 1817144440225 - 2³ = 1817144440217 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 (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 114573346 + ... + 114589204.

Almost surely, 2^{1817144440225} is an apocalyptic number.

1817144440225 is the 1348015-th square number.

1817144440225 is the 674008-th centered octagonal number.

It is an amenable number.

1817144440225 is a deficient number, since it is larger than the sum of its proper divisors (576607002872).

1817144440225 is an frugal number, since it uses more digits than its factorization.

1817144440225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31762 (or 15881 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 43.

The spelling of 1817144440225 in words is "one trillion, eight hundred seventeen billion, one hundred forty-four million, four hundred forty thousand, two hundred twenty-five".