328174308225 has 81 divisors (see below), whose sum is σ = 593876605257. Its totient is φ = 173234376000.

The previous prime is 328174308199. The next prime is 328174308233. The reversal of 328174308225 is 522803471823.

The square root of 328174308225 is 572865.

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

328174308225 is a `hidden beast` number, since 328 + 1 + 74 + 30 + 8 + 225 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 176130463041 + 152043845184 = 419679^2 + 389928^2 .

It is not a de Polignac number, because 328174308225 - 2³⁵ = 293814569857 is a prime.

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

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 80 ways as a sum of consecutive naturals, for example, 1555328370 + ... + 1555328580.

Almost surely, 2^328174308225 is an apocalyptic number.

328174308225 is the 572865-th square number.

328174308225 is the 286433-rd centered octagonal number.

It is an amenable number.

328174308225 is a deficient number, since it is larger than the sum of its proper divisors (265702297032).

328174308225 is an equidigital number, since it uses as much as digits as its factorization.

328174308225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 328174308225 in words is "three hundred twenty-eight billion, one hundred seventy-four million, three hundred eight thousand, two hundred twenty-five".