216645466644200 has 96 divisors (see below), whose sum is σ = 549592004664000. Its totient is φ = 78765786739200.

The previous prime is 216645466644193. The next prime is 216645466644221. The reversal of 216645466644200 is 2446664546612.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3067196 + ... + 21040404.

It is an arithmetic number, because the mean of its divisors is an integer number (5724916715250).

Almost surely, 2^{216645466644200} is an apocalyptic number.

216645466644200 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 216645466644200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274796002332000).

216645466644200 is an abundant number, since it is smaller than the sum of its proper divisors (332946538019800).

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

216645466644200 is a wasteful number, since it uses less digits than its factorization.

216645466644200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17978715 (or 17978706 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 56.

The spelling of 216645466644200 in words is "two hundred sixteen trillion, six hundred forty-five billion, four hundred sixty-six million, six hundred forty-four thousand, two hundred".