165563130116118 has 128 divisors (see below), whose sum is σ = 396199948713984. Its totient is φ = 45126163756800.

The previous prime is 165563130116057. The next prime is 165563130116119. The reversal of 165563130116118 is 811611031365561.

It is a super-2 number, since 2×165563130116118² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165563130116119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 619505130 + ... + 619772322.

It is an arithmetic number, because the mean of its divisors is an integer number (3095312099328).

Almost surely, 2^{165563130116118} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165563130116118, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198099974356992).

165563130116118 is an abundant number, since it is smaller than the sum of its proper divisors (230636818597866).

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

165563130116118 is a wasteful number, since it uses less digits than its factorization.

165563130116118 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274010.

The product of its (nonzero) digits is 388800, while the sum is 48.

The spelling of 165563130116118 in words is "one hundred sixty-five trillion, five hundred sixty-three billion, one hundred thirty million, one hundred sixteen thousand, one hundred eighteen".