217132163136 has 448 divisors, whose sum is σ = 762981212160. Its totient is φ = 59204597760.

The previous prime is 217132163123. The next prime is 217132163167. The reversal of 217132163136 is 631361231712.

217132163136 is a `hidden beast` number, since 2 + 1 + 7 + 13 + 2 + 1 + 631 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 217132163136.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 210602941 + ... + 210603971.

Almost surely, 2^217132163136 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 217132163136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381490606080).

217132163136 is an abundant number, since it is smaller than the sum of its proper divisors (545849049024).

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

217132163136 is a wasteful number, since it uses less digits than its factorization.

217132163136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1839 (or 1823 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

Adding to 217132163136 its reverse (631361231712), we get a palindrome (848493394848).

The spelling of 217132163136 in words is "two hundred seventeen billion, one hundred thirty-two million, one hundred sixty-three thousand, one hundred thirty-six".