217161666161712 has 160 divisors (see below), whose sum is σ = 632856532089600. Its totient is φ = 71282174211072.

The previous prime is 217161666161711. The next prime is 217161666161743.

217161666161712 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (217161666161711) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82555839 + ... + 85145697.

It is an arithmetic number, because the mean of its divisors is an integer number (3955353325560).

Almost surely, 2^{217161666161712} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 217161666161712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316428266044800).

217161666161712 is an abundant number, since it is smaller than the sum of its proper divisors (415694865927888).

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

217161666161712 is a wasteful number, since it uses less digits than its factorization.

217161666161712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2592840 (or 2592828 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 54.

The spelling of 217161666161712 in words is "two hundred seventeen trillion, one hundred sixty-one billion, six hundred sixty-six million, one hundred sixty-one thousand, seven hundred twelve".