216601132223616 has 256 divisors, whose sum is σ = 683305500672000. Its totient is φ = 59487766179840.

The previous prime is 216601132223611. The next prime is 216601132223617. The reversal of 216601132223616 is 616322231106612.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (216601132223611) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3693121 + ... + 21138623.

It is an arithmetic number, because the mean of its divisors is an integer number (2669162112000).

Almost surely, 2^{216601132223616} 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 216601132223616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341652750336000).

216601132223616 is an abundant number, since it is smaller than the sum of its proper divisors (466704368448384).

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

216601132223616 is a wasteful number, since it uses less digits than its factorization.

216601132223616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17445707 (or 17445695 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The spelling of 216601132223616 in words is "two hundred sixteen trillion, six hundred one billion, one hundred thirty-two million, two hundred twenty-three thousand, six hundred sixteen".