165664466561 has 8 divisors (see below), whose sum is σ = 180773801184. Its totient is φ = 150563286720.

The previous prime is 165664466533. The next prime is 165664466567.

165664466561 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 165664466561 - 2⁶ = 165664466497 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 165664466497 and 165664466506.

It is not an unprimeable number, because it can be changed into a prime (165664466567) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1996175 + ... + 2077508.

It is an arithmetic number, because the mean of its divisors is an integer number (22596725148).

Almost surely, 2^165664466561 is an apocalyptic number.

165664466561 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

165664466561 is a deficient number, since it is larger than the sum of its proper divisors (15109334623).

165664466561 is a wasteful number, since it uses less digits than its factorization.

165664466561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4077391.

The product of its digits is 18662400, while the sum is 56.

The spelling of 165664466561 in words is "one hundred sixty-five billion, six hundred sixty-four million, four hundred sixty-six thousand, five hundred sixty-one".