216038016 has 160 divisors (see below), whose sum is σ = 654619680. Its totient is φ = 70709760.

The previous prime is 216037963. The next prime is 216038041. The reversal of 216038016 is 610830612.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 19 ways as a sum of consecutive naturals, for example, 694501 + ... + 694811.

It is an arithmetic number, because the mean of its divisors is an integer number (4091373).

Almost surely, 2^216038016 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 216038016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327309840).

216038016 is an abundant number, since it is smaller than the sum of its proper divisors (438581664).

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

216038016 is an equidigital number, since it uses as much as digits as its factorization.

216038016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 216038016 is about 14698.2317303817. The cubic root of 216038016 is about 600.0351979351.

Adding to 216038016 its reverse (610830612), we get a palindrome (826868628).

The spelling of 216038016 in words is "two hundred sixteen million, thirty-eight thousand, sixteen".