161601160116141 has 72 divisors (see below), whose sum is σ = 247460083752960. Its totient is φ = 101607057720000.

The previous prime is 161601160116133. The next prime is 161601160116181. The reversal of 161601160116141 is 141611061106161.

161601160116141 is a `hidden beast` number, since 1 + 6 + 1 + 6 + 0 + 1 + 1 + 601 + 1 + 6 + 1 + 41 = 666.

It is not a de Polignac number, because 161601160116141 - 2³ = 161601160116133 is a prime.

It is a super-2 number, since 2×161601160116141² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 161601160116096 and 161601160116105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161601160116181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1126060891 + ... + 1126204391.

It is an arithmetic number, because the mean of its divisors is an integer number (3436945607680).

Almost surely, 2^{161601160116141} is an apocalyptic number.

It is an amenable number.

161601160116141 is a deficient number, since it is larger than the sum of its proper divisors (85858923636819).

161601160116141 is a wasteful number, since it uses less digits than its factorization.

161601160116141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145095 (or 145073 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 36.

The spelling of 161601160116141 in words is "one hundred sixty-one trillion, six hundred one billion, one hundred sixty million, one hundred sixteen thousand, one hundred forty-one".