216986112 has 270 divisors, whose sum is σ = 752736699. Its totient is φ = 59996160.

The previous prime is 216986101. The next prime is 216986141. The reversal of 216986112 is 211689612.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 108493056 + 108493056 = 10416^2 + 10416^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=10416.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6999537 + ... + 6999567.

Almost surely, 2^216986112 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 216986112

216986112 is an abundant number, since it is smaller than the sum of its proper divisors (535750587).

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

216986112 is an equidigital number, since it uses as much as digits as its factorization.

216986112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 43 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 216986112 is about 14730.4484656782. The cubic root of 216986112 is about 600.9116806956.

Multiplying 216986112 by its product of digits (10368), we get a square (2249712009216 = 1499904²).

The spelling of 216986112 in words is "two hundred sixteen million, nine hundred eighty-six thousand, one hundred twelve".