217316182272 has 432 divisors, whose sum is σ = 718509496320. Its totient is φ = 57999642624.

The previous prime is 217316182211. The next prime is 217316182289. The reversal of 217316182272 is 272281613712.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37215129 + ... + 37220967.

Almost surely, 2^217316182272 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 217316182272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359254748160).

217316182272 is an abundant number, since it is smaller than the sum of its proper divisors (501193314048).

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

217316182272 is a wasteful number, since it uses less digits than its factorization.

217316182272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5938 (or 5917 counting only the distinct ones).

The product of its digits is 112896, while the sum is 42.

Adding to 217316182272 its reverse (272281613712), we get a palindrome (489597795984).

It can be divided in two parts, 21731 and 6182272, that added together give a triangular number (6204003 = T₃₅₂₂).

The spelling of 217316182272 in words is "two hundred seventeen billion, three hundred sixteen million, one hundred eighty-two thousand, two hundred seventy-two".