165064160006604 has 144 divisors (see below), whose sum is σ = 444474677337600. Its totient is φ = 53524557798336.

The previous prime is 165064160006591. The next prime is 165064160006617. The reversal of 165064160006604 is 406600061460561.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (165064160006591) and next prime (165064160006617).

It is a super-2 number, since 2×165064160006604² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 165064160006604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 198069507 + ... + 198901125.

Almost surely, 2^{165064160006604} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165064160006604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222237338668800).

165064160006604 is an abundant number, since it is smaller than the sum of its proper divisors (279410517330996).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

165064160006604 is a wasteful number, since it uses less digits than its factorization.

165064160006604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837194 (or 837180 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 165064160006604 in words is "one hundred sixty-five trillion, sixty-four billion, one hundred sixty million, six thousand, six hundred four".