216322512 has 80 divisors (see below), whose sum is σ = 642375552. Its totient is φ = 61447680.

The previous prime is 216322489. The next prime is 216322517. The reversal of 216322512 is 215223612.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216322517) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 59038 + ... + 62594.

Almost surely, 2^216322512 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 216322512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321187776).

216322512 is an abundant number, since it is smaller than the sum of its proper divisors (426053040).

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

216322512 is a wasteful number, since it uses less digits than its factorization.

216322512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3756 (or 3750 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 216322512 is about 14707.9064451743. The cubic root of 216322512 is about 600.2984737200.

The spelling of 216322512 in words is "two hundred sixteen million, three hundred twenty-two thousand, five hundred twelve".