166528470241 has 27 divisors (see below), whose sum is σ = 196060683897. Its totient is φ = 141032102400.

The previous prime is 166528470221. The next prime is 166528470263. The reversal of 166528470241 is 142074825661.

The square root of 166528470241 is 408079.

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

It can be written as a sum of positive squares in 4 ways, for example, as 16833765025 + 149694705216 = 129745^2 + 386904^2 .

It is not a de Polignac number, because 166528470241 - 2⁷ = 166528470113 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 166528470191 and 166528470200.

It is not an unprimeable number, because it can be changed into a prime (166528470211) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 277085341 + ... + 277085941.

It is an arithmetic number, because the mean of its divisors is an integer number (7261506811).

Almost surely, 2^166528470241 is an apocalyptic number.

166528470241 is the 408079-th square number.

166528470241 is the 204040-th centered octagonal number.

It is an amenable number.

166528470241 is a deficient number, since it is larger than the sum of its proper divisors (29532213656).

166528470241 is an frugal number, since it uses more digits than its factorization.

166528470241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1410 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 46.

The spelling of 166528470241 in words is "one hundred sixty-six billion, five hundred twenty-eight million, four hundred seventy thousand, two hundred forty-one".