216364229200 has 480 divisors, whose sum is σ = 662861574144. Its totient is φ = 66122833920.

The previous prime is 216364229143. The next prime is 216364229201. The reversal of 216364229200 is 2922463612.

It is a self number, because there is not a number n which added to its sum of digits gives 216364229200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216364229201) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 117142677 + ... + 117144523.

Almost surely, 2^216364229200 is an apocalyptic number.

216364229200 is a gapful number since it is divisible by the number (20) 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 216364229200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331430787072).

216364229200 is an abundant number, since it is smaller than the sum of its proper divisors (446497344944).

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

216364229200 is a wasteful number, since it uses less digits than its factorization.

216364229200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2019 (or 2008 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

The spelling of 216364229200 in words is "two hundred sixteen billion, three hundred sixty-four million, two hundred twenty-nine thousand, two hundred".