216811712 has 56 divisors (see below), whose sum is σ = 475920816. Its totient is φ = 97348608.

The previous prime is 216811709. The next prime is 216811723. The reversal of 216811712 is 217118612.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27263 + ... + 34305.

It is an arithmetic number, because the mean of its divisors is an integer number (8498586).

Almost surely, 2^216811712 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 216811712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237960408).

216811712 is an abundant number, since it is smaller than the sum of its proper divisors (259109104).

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

216811712 is a wasteful number, since it uses less digits than its factorization.

216811712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7105 (or 7095 counting only the distinct ones).

The product of its digits is 1344, while the sum is 29.

The square root of 216811712 is about 14724.5275645774. The cubic root of 216811712 is about 600.7506456787.

The spelling of 216811712 in words is "two hundred sixteen million, eight hundred eleven thousand, seven hundred twelve".