198145168225 has 27 divisors (see below), whose sum is σ = 248003672601. Its totient is φ = 157043628000.

The previous prime is 198145168223. The next prime is 198145168241. The reversal of 198145168225 is 522861541891.

The square root of 198145168225 is 445135.

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

198145168225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 13444634401 + 184700533824 = 115951^2 + 429768^2 .

It is not a de Polignac number, because 198145168225 - 2¹ = 198145168223 is a prime.

It is a super-3 number, since 3×198145168225³ (a number of 35 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (198145168223) 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 26 ways as a sum of consecutive naturals, for example, 282660375 + ... + 282661075.

Almost surely, 2^198145168225 is an apocalyptic number.

198145168225 is the 445135-th square number.

198145168225 is the 222568-th centered octagonal number.

It is an amenable number.

198145168225 is a deficient number, since it is larger than the sum of its proper divisors (49858504376).

198145168225 is an frugal number, since it uses more digits than its factorization.

198145168225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1666 (or 833 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 52.

The spelling of 198145168225 in words is "one hundred ninety-eight billion, one hundred forty-five million, one hundred sixty-eight thousand, two hundred twenty-five".