165919186944001 has 8 divisors (see below), whose sum is σ = 165973954769000. Its totient is φ = 165864422431872.

The previous prime is 165919186943989. The next prime is 165919186944041. The reversal of 165919186944001 is 100449681919561.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 114638564163600 + 51280622780401 = 10706940^2 + 7161049^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 165919186944001 - 2²⁵ = 165919153389569 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (165919186944041) 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, 101434375 + ... + 103057123.

It is an arithmetic number, because the mean of its divisors is an integer number (20746744346125).

Almost surely, 2^{165919186944001} is an apocalyptic number.

It is an amenable number.

165919186944001 is a deficient number, since it is larger than the sum of its proper divisors (54767824999).

165919186944001 is a wasteful number, since it uses less digits than its factorization.

165919186944001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1656435.

The product of its (nonzero) digits is 16796160, while the sum is 64.

The spelling of 165919186944001 in words is "one hundred sixty-five trillion, nine hundred nineteen billion, one hundred eighty-six million, nine hundred forty-four thousand, one".