165632160724992 has 864 divisors, whose sum is σ = 536065573024800. Its totient is φ = 50858664984576.

The previous prime is 165632160724957. The next prime is 165632160725047. The reversal of 165632160724992 is 299427061236561.

It is a happy number.

165632160724992 is a `hidden beast` number, since 1 + 6 + 5 + 6 + 321 + 60 + 7 + 249 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×165632160724992² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 154941216234 + ... + 154941217302.

It is an arithmetic number, because the mean of its divisors is an integer number (620446265075).

Almost surely, 2^{165632160724992} is an apocalyptic number.

165632160724992 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 165632160724992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268032786512400).

165632160724992 is an abundant number, since it is smaller than the sum of its proper divisors (370433412299808).

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

165632160724992 is an frugal number, since it uses more digits than its factorization.

165632160724992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2015 (or 1974 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 165632160724992 in words is "one hundred sixty-five trillion, six hundred thirty-two billion, one hundred sixty million, seven hundred twenty-four thousand, nine hundred ninety-two".