165084007664 has 20 divisors (see below), whose sum is σ = 321765541104. Its totient is φ = 82047739008.

The previous prime is 165084007663. The next prime is 165084007691. The reversal of 165084007664 is 466700480561.

165084007664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×165084007664² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165084007663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 30888797 + ... + 30894140.

Almost surely, 2^165084007664 is an apocalyptic number.

It is an amenable number.

165084007664 is a deficient number, since it is larger than the sum of its proper divisors (156681533440).

165084007664 is a wasteful number, since it uses less digits than its factorization.

165084007664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61783112 (or 61783106 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 47.

The spelling of 165084007664 in words is "one hundred sixty-five billion, eighty-four million, seven thousand, six hundred sixty-four".