165632713111164 has 192 divisors, whose sum is σ = 427121617104000. Its totient is φ = 49631734333440.

The previous prime is 165632713111141. The next prime is 165632713111207. The reversal of 165632713111164 is 461111317236561.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15731091052 + ... + 15731101580.

It is an arithmetic number, because the mean of its divisors is an integer number (2224591755750).

Almost surely, 2^{165632713111164} 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 165632713111164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213560808552000).

165632713111164 is an abundant number, since it is smaller than the sum of its proper divisors (261488903992836).

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

165632713111164 is a wasteful number, since it uses less digits than its factorization.

165632713111164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14768 (or 14766 counting only the distinct ones).

The product of its digits is 544320, while the sum is 48.

The spelling of 165632713111164 in words is "one hundred sixty-five trillion, six hundred thirty-two billion, seven hundred thirteen million, one hundred eleven thousand, one hundred sixty-four".