216730307217312 has 1152 divisors, whose sum is σ = 759644155146240. Its totient is φ = 59512691589120.

The previous prime is 216730307217293. The next prime is 216730307217329. The reversal of 216730307217312 is 213712703037612.

216730307217312 is a `hidden beast` number, since 2 + 1 + 6 + 7 + 3 + 0 + 307 + 21 + 7 + 312 = 666.

216730307217312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 25116499014 + ... + 25116507642.

It is an arithmetic number, because the mean of its divisors is an integer number (659413329120).

Almost surely, 2^{216730307217312} 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 216730307217312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379822077573120).

216730307217312 is an abundant number, since it is smaller than the sum of its proper divisors (542913847928928).

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

216730307217312 is an equidigital number, since it uses as much as digits as its factorization.

216730307217312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8896 (or 8876 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 45.

The spelling of 216730307217312 in words is "two hundred sixteen trillion, seven hundred thirty billion, three hundred seven million, two hundred seventeen thousand, three hundred twelve".