216373416 has 192 divisors, whose sum is σ = 679622400. Its totient is φ = 57028608.

The previous prime is 216373363. The next prime is 216373427. The reversal of 216373416 is 614373612.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1579300 + ... + 1579436.

It is an arithmetic number, because the mean of its divisors is an integer number (3539700).

Almost surely, 2^216373416 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 216373416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339811200).

216373416 is an abundant number, since it is smaller than the sum of its proper divisors (463248984).

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

216373416 is a wasteful number, since it uses less digits than its factorization.

216373416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 245 counting only the distinct ones).

The product of its digits is 18144, while the sum is 33.

The square root of 216373416 is about 14709.6368412004. The cubic root of 216373416 is about 600.3455565019.

The spelling of 216373416 in words is "two hundred sixteen million, three hundred seventy-three thousand, four hundred sixteen".