165449630025 has 189 divisors, whose sum is σ = 324024111607. Its totient is φ = 83758989600.

The previous prime is 165449629999. The next prime is 165449630041. The reversal of 165449630025 is 520036944561.

The square root of 165449630025 is 406755.

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

165449630025 is a `hidden beast` number, since 1 + 6 + 5 + 4 + 4 + 9 + 630 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 59561866809 + 105887763216 = 244053^2 + 325404^2 .

It is a de Polignac number, because none of the positive numbers 2^k-165449630025 is a prime.

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 1262974210 + ... + 1262974340.

Almost surely, 2^165449630025 is an apocalyptic number.

165449630025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

165449630025 is the 406755-th square number.

165449630025 is the 203378-th centered octagonal number.

It is an amenable number.

165449630025 is a deficient number, since it is larger than the sum of its proper divisors (158574481582).

165449630025 is an frugal number, since it uses more digits than its factorization.

165449630025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 165449630025 in words is "one hundred sixty-five billion, four hundred forty-nine million, six hundred thirty thousand, twenty-five".