165616116097 has 16 divisors (see below), whose sum is σ = 169864111872. Its totient is φ = 161399589120.

The previous prime is 165616116089. The next prime is 165616116101. The reversal of 165616116097 is 790611616561.

165616116097 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 165616116097 - 2³ = 165616116089 is a prime.

It is a super-2 number, since 2×165616116097² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 165616116097.

It is not an unprimeable number, because it can be changed into a prime (165616116047) 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, 12838983 + ... + 12851875.

It is an arithmetic number, because the mean of its divisors is an integer number (10616506992).

Almost surely, 2^165616116097 is an apocalyptic number.

It is an amenable number.

165616116097 is a deficient number, since it is larger than the sum of its proper divisors (4247995775).

165616116097 is a wasteful number, since it uses less digits than its factorization.

165616116097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14088.

The product of its (nonzero) digits is 408240, while the sum is 49.

The spelling of 165616116097 in words is "one hundred sixty-five billion, six hundred sixteen million, one hundred sixteen thousand, ninety-seven".