216208511868232 has 128 divisors (see below), whose sum is σ = 448961766795360. Its totient is φ = 96964405862400.

The previous prime is 216208511868227. The next prime is 216208511868277. The reversal of 216208511868232 is 232868115802612.

It can be written as a sum of positive squares in 16 ways, for example, as 27131326583076 + 189077185285156 = 5208774^2 + 13750534^2 .

It is a super-2 number, since 2×216208511868232² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10702851732 + ... + 10702871932.

Almost surely, 2^{216208511868232} 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 216208511868232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224480883397680).

216208511868232 is an abundant number, since it is smaller than the sum of its proper divisors (232753254927128).

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

216208511868232 is a wasteful number, since it uses less digits than its factorization.

216208511868232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23763 (or 23759 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 55.

The spelling of 216208511868232 in words is "two hundred sixteen trillion, two hundred eight billion, five hundred eleven million, eight hundred sixty-eight thousand, two hundred thirty-two".