165072414561 has 16 divisors (see below), whose sum is σ = 245308852800. Its totient is φ = 98123539968.

The previous prime is 165072414553. The next prime is 165072414587. The reversal of 165072414561 is 165414270561.

165072414561 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 165072414561 - 2³ = 165072414553 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (165072414511) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 85175716 + ... + 85177653.

It is an arithmetic number, because the mean of its divisors is an integer number (15331803300).

Almost surely, 2^165072414561 is an apocalyptic number.

It is an amenable number.

165072414561 is a deficient number, since it is larger than the sum of its proper divisors (80236438239).

165072414561 is a wasteful number, since it uses less digits than its factorization.

165072414561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170353408.

The product of its (nonzero) digits is 201600, while the sum is 42.

The spelling of 165072414561 in words is "one hundred sixty-five billion, seventy-two million, four hundred fourteen thousand, five hundred sixty-one".