165658214111424 has 224 divisors, whose sum is σ = 445748571340800. Its totient is φ = 54288193655808.

The previous prime is 165658214111399. The next prime is 165658214111441. The reversal of 165658214111424 is 424111412856561.

165658214111424 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 10899276177 + ... + 10899291375.

It is an arithmetic number, because the mean of its divisors is an integer number (1989948979200).

Almost surely, 2^{165658214111424} 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 165658214111424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222874285670400).

165658214111424 is an abundant number, since it is smaller than the sum of its proper divisors (280090357229376).

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

165658214111424 is a wasteful number, since it uses less digits than its factorization.

165658214111424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18587 (or 18577 counting only the distinct ones).

The product of its digits is 1843200, while the sum is 51.

Adding to 165658214111424 its reverse (424111412856561), we get a palindrome (589769626967985).

The spelling of 165658214111424 in words is "one hundred sixty-five trillion, six hundred fifty-eight billion, two hundred fourteen million, one hundred eleven thousand, four hundred twenty-four".