165144163416561 has 24 divisors (see below), whose sum is σ = 282019589417280. Its totient is φ = 91114021194336.

The previous prime is 165144163416541. The next prime is 165144163416581. The reversal of 165144163416561 is 165614361441561.

165144163416561 is a `hidden beast` number, since 1 + 6 + 5 + 1 + 4 + 4 + 1 + 63 + 4 + 16 + 561 = 666.

It is an interprime number because it is at equal distance from previous prime (165144163416541) and next prime (165144163416581).

It is not a de Polignac number, because 165144163416561 - 2⁶ = 165144163416497 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 165144163416498 and 165144163416507.

It is not an unprimeable number, because it can be changed into a prime (165144163416541) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45195445195 + ... + 45195448848.

It is an arithmetic number, because the mean of its divisors is an integer number (11750816225720).

Almost surely, 2^{165144163416561} is an apocalyptic number.

It is an amenable number.

165144163416561 is a deficient number, since it is larger than the sum of its proper divisors (116875426000719).

165144163416561 is a wasteful number, since it uses less digits than its factorization.

165144163416561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90390894085 (or 90390894082 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The spelling of 165144163416561 in words is "one hundred sixty-five trillion, one hundred forty-four billion, one hundred sixty-three million, four hundred sixteen thousand, five hundred sixty-one".