161072671616217 has 24 divisors (see below), whose sum is σ = 238348437287688. Its totient is φ = 104756882630400.

The previous prime is 161072671616177. The next prime is 161072671616237. The reversal of 161072671616217 is 712616176270161.

161072671616217 is a `hidden beast` number, since 1 + 6 + 1 + 0 + 7 + 2 + 6 + 7 + 1 + 6 + 1 + 621 + 7 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19592494648281 + 141480176967936 = 4426341^2 + 11894544^2 .

It is not a de Polignac number, because 161072671616217 - 2³⁰ = 161071597874393 is a prime.

It is a super-3 number, since 3×161072671616217³ (a number of 44 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (161072671616237) 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, 5503138 + ... + 18773115.

It is an arithmetic number, because the mean of its divisors is an integer number (9931184886987).

Almost surely, 2^{161072671616217} is an apocalyptic number.

It is an amenable number.

161072671616217 is a deficient number, since it is larger than the sum of its proper divisors (77275765671471).

161072671616217 is a wasteful number, since it uses less digits than its factorization.

161072671616217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24294281 (or 24294278 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 54.

The spelling of 161072671616217 in words is "one hundred sixty-one trillion, seventy-two billion, six hundred seventy-one million, six hundred sixteen thousand, two hundred seventeen".