216801312 has 288 divisors, whose sum is σ = 743758848. Its totient is φ = 54033408.

The previous prime is 216801307. The next prime is 216801329. The reversal of 216801312 is 213108612.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2612023 + ... + 2612105.

It is an arithmetic number, because the mean of its divisors is an integer number (2582496).

Almost surely, 2^216801312 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 216801312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371879424).

216801312 is an abundant number, since it is smaller than the sum of its proper divisors (526957536).

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

216801312 is a wasteful number, since it uses less digits than its factorization.

216801312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 216801312 is about 14724.1744080950. The cubic root of 216801312 is about 600.7410399451.

Adding to 216801312 its reverse (213108612), we get a palindrome (429909924).

The spelling of 216801312 in words is "two hundred sixteen million, eight hundred one thousand, three hundred twelve".