168662169225 has 243 divisors, whose sum is σ = 353144140167. Its totient is φ = 76880232000.

The previous prime is 168662169199. The next prime is 168662169233. The reversal of 168662169225 is 522961266861.

The square root of 168662169225 is 410685.

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

168662169225 is a `hidden beast` number, since 1 + 6 + 8 + 6 + 621 + 6 + 9 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 60718380921 + 107943788304 = 246411^2 + 328548^2 .

It is not a de Polignac number, because 168662169225 - 2¹⁵ = 168662136457 is a prime.

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 242 ways as a sum of consecutive naturals, for example, 1287497410 + ... + 1287497540.

Almost surely, 2^168662169225 is an apocalyptic number.

168662169225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

168662169225 is the 410685-th square number.

168662169225 is the 205343-rd centered octagonal number.

It is an amenable number.

168662169225 is an abundant number, since it is smaller than the sum of its proper divisors (184481970942).

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

168662169225 is a wasteful number, since it uses less digits than its factorization.

168662169225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 169 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

It can be divided in two parts, 168662169 and 225, that multiplied together give a square (37948988025 = 194805²).

The spelling of 168662169225 in words is "one hundred sixty-eight billion, six hundred sixty-two million, one hundred sixty-nine thousand, two hundred twenty-five".