211714816 has 72 divisors (see below), whose sum is σ = 452247264. Its totient is φ = 98672640.

The previous prime is 211714813. The next prime is 211714817. The reversal of 211714816 is 618417112.

It is not an unprimeable number, because it can be changed into a prime (211714813) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 240970 + ... + 241846.

It is an arithmetic number, because the mean of its divisors is an integer number (6281212).

Almost surely, 2^211714816 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 211714816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226123632).

211714816 is an abundant number, since it is smaller than the sum of its proper divisors (240532448).

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

211714816 is an equidigital number, since it uses as much as digits as its factorization.

211714816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957 (or 943 counting only the distinct ones).

The product of its digits is 2688, while the sum is 31.

The square root of 211714816 is about 14550.4232240853. The cubic root of 211714816 is about 596.0057053941.

The spelling of 211714816 in words is "two hundred eleven million, seven hundred fourteen thousand, eight hundred sixteen".