216613845120 has 256 divisors, whose sum is σ = 700229836800. Its totient is φ = 56951107584.

The previous prime is 216613845073. The next prime is 216613845163. The reversal of 216613845120 is 21548316612.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47262349 + ... + 47266931.

It is an arithmetic number, because the mean of its divisors is an integer number (2735272800).

Almost surely, 2^216613845120 is an apocalyptic number.

216613845120 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 216613845120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350114918400).

216613845120 is an abundant number, since it is smaller than the sum of its proper divisors (483615991680).

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

216613845120 is a wasteful number, since it uses less digits than its factorization.

216613845120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4947 (or 4935 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 216613845120 in words is "two hundred sixteen billion, six hundred thirteen million, eight hundred forty-five thousand, one hundred twenty".