165168434320 has 40 divisors (see below), whose sum is σ = 384035404536. Its totient is φ = 66064140288.

The previous prime is 165168434317. The next prime is 165168434323. The reversal of 165168434320 is 23434861561.

It is an interprime number because it is at equal distance from previous prime (165168434317) and next prime (165168434323).

It can be written as a sum of positive squares in 4 ways, for example, as 27886328064 + 137282106256 = 166992^2 + 370516^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×165168434320² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (165168434323) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2238334 + ... + 2310946.

Almost surely, 2^165168434320 is an apocalyptic number.

165168434320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

165168434320 is an abundant number, since it is smaller than the sum of its proper divisors (218866970216).

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

165168434320 is a wasteful number, since it uses less digits than its factorization.

165168434320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101059 (or 101053 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 43.

The spelling of 165168434320 in words is "one hundred sixty-five billion, one hundred sixty-eight million, four hundred thirty-four thousand, three hundred twenty".