216220018014 has 384 divisors, whose sum is σ = 641209540608. Its totient is φ = 50844775680.

The previous prime is 216220017997. The next prime is 216220018037. The reversal of 216220018014 is 410810022612.

216220018014 is a `hidden beast` number, since 21 + 622 + 0 + 0 + 1 + 8 + 0 + 14 = 666.

216220018014 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 243765079 + ... + 243765965.

It is an arithmetic number, because the mean of its divisors is an integer number (1669816512).

Almost surely, 2^216220018014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216220018014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320604770304).

216220018014 is an abundant number, since it is smaller than the sum of its proper divisors (424989522594).

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

216220018014 is a wasteful number, since it uses less digits than its factorization.

216220018014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 216220018014 in words is "two hundred sixteen billion, two hundred twenty million, eighteen thousand, fourteen".