165968221104 has 300 divisors, whose sum is σ = 567293257872. Its totient is φ = 45887420160.

The previous prime is 165968221021. The next prime is 165968221141. The reversal of 165968221104 is 401122869561.

It is a self number, because there is not a number n which added to its sum of digits gives 165968221104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8708674 + ... + 8727710.

Almost surely, 2^165968221104 is an apocalyptic number.

165968221104 is a gapful number since it is divisible by the number (14) 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 165968221104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283646628936).

165968221104 is an abundant number, since it is smaller than the sum of its proper divisors (401325036768).

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

165968221104 is a wasteful number, since it uses less digits than its factorization.

165968221104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19126 (or 19080 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 165968221104 in words is "one hundred sixty-five billion, nine hundred sixty-eight million, two hundred twenty-one thousand, one hundred four".