506185868746161 has 24 divisors (see below), whose sum is σ = 735121862654400. Its totient is φ = 335628818157600.

The previous prime is 506185868746147. The next prime is 506185868746189. The reversal of 506185868746161 is 161647868581605.

506185868746161 is a `hidden beast` number, since 5 + 0 + 6 + 1 + 8 + 5 + 86 + 87 + 461 + 6 + 1 = 666.

It is not a de Polignac number, because 506185868746161 - 2⁹ = 506185868745649 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 506185868746161.

It is not an unprimeable number, because it can be changed into a prime (506185868746121) 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, 51300150 + ... + 60366191.

It is an arithmetic number, because the mean of its divisors is an integer number (30630077610600).

Almost surely, 2^{506185868746161} is an apocalyptic number.

It is an amenable number.

506185868746161 is a deficient number, since it is larger than the sum of its proper divisors (228935993908239).

506185868746161 is a wasteful number, since it uses less digits than its factorization.

506185868746161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111669077 (or 111669074 counting only the distinct ones).

The product of its (nonzero) digits is 464486400, while the sum is 72.

The spelling of 506185868746161 in words is "five hundred six trillion, one hundred eighty-five billion, eight hundred sixty-eight million, seven hundred forty-six thousand, one hundred sixty-one".