216823360512 has 352 divisors, whose sum is σ = 654092550144. Its totient is φ = 63262310400.

The previous prime is 216823360477. The next prime is 216823360531. The reversal of 216823360512 is 215063328612.

It is a happy number.

216823360512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (352).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 275505783 + ... + 275506569.

It is an arithmetic number, because the mean of its divisors is an integer number (1858217472).

Almost surely, 2^216823360512 is an apocalyptic number.

216823360512 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216823360512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327046275072).

216823360512 is an abundant number, since it is smaller than the sum of its proper divisors (437269189632).

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

216823360512 is a wasteful number, since it uses less digits than its factorization.

216823360512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 216823360512 in words is "two hundred sixteen billion, eight hundred twenty-three million, three hundred sixty thousand, five hundred twelve".