165663332516241 has 20 divisors (see below), whose sum is σ = 282825583556032. Its totient is φ = 94664761437528.

The previous prime is 165663332516183. The next prime is 165663332516243. The reversal of 165663332516241 is 142615233366561.

165663332516241 is a `hidden beast` number, since 1 + 6 + 5 + 6 + 6 + 3 + 3 + 3 + 2 + 5 + 1 + 624 + 1 = 666.

It is not a de Polignac number, because 165663332516241 - 2⁶ = 165663332516177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (165663332516243) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 146087594245 + ... + 146087595378.

Almost surely, 2^{165663332516241} is an apocalyptic number.

It is an amenable number.

165663332516241 is a deficient number, since it is larger than the sum of its proper divisors (117162251039791).

165663332516241 is an equidigital number, since it uses as much as digits as its factorization.

165663332516241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292175189642 (or 292175189633 counting only the distinct ones).

The product of its digits is 13996800, while the sum is 54.

The spelling of 165663332516241 in words is "one hundred sixty-five trillion, six hundred sixty-three billion, three hundred thirty-two million, five hundred sixteen thousand, two hundred forty-one".