119118168225 has 243 divisors, whose sum is σ = 263459980953. Its totient is φ = 51289822080.

The previous prime is 119118168223. The next prime is 119118168269. The reversal of 119118168225 is 522861811911.

The square root of 119118168225 is 345135.

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

119118168225 is a `hidden beast` number, since 1 + 191 + 181 + 68 + 225 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13113227169 + 106004941056 = 114513^2 + 325584^2 .

It is not a de Polignac number, because 119118168225 - 2¹ = 119118168223 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (119118168223) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 688544239 + ... + 688544411.

Almost surely, 2^119118168225 is an apocalyptic number.

119118168225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

119118168225 is the 345135-th square number.

119118168225 is the 172568-th centered octagonal number.

It is an amenable number.

119118168225 is an abundant number, since it is smaller than the sum of its proper divisors (144341812728).

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

119118168225 is a wasteful number, since it uses less digits than its factorization.

119118168225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 207 counting only the distinct ones).

The product of its digits is 69120, while the sum is 45.

The spelling of 119118168225 in words is "one hundred nineteen billion, one hundred eighteen million, one hundred sixty-eight thousand, two hundred twenty-five".