165668260992 has 192 divisors, whose sum is σ = 480286632960. Its totient is φ = 50570956800.

The previous prime is 165668260943. The next prime is 165668261039. The reversal of 165668260992 is 299062866561.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×165668260992² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8231742 + ... + 8251842.

It is an arithmetic number, because the mean of its divisors is an integer number (2501492880).

Almost surely, 2^165668260992 is an apocalyptic number.

165668260992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165668260992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240143316480).

165668260992 is an abundant number, since it is smaller than the sum of its proper divisors (314618371968).

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

165668260992 is a wasteful number, since it uses less digits than its factorization.

165668260992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20271 (or 20246 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 60.

The spelling of 165668260992 in words is "one hundred sixty-five billion, six hundred sixty-eight million, two hundred sixty thousand, nine hundred ninety-two".