216188614656 has 576 divisors, whose sum is σ = 755853789600. Its totient is φ = 60866297856.

The previous prime is 216188614651. The next prime is 216188614657. The reversal of 216188614656 is 656416881612.

It is a happy number.

216188614656 is a `hidden beast` number, since 2 + 1 + 6 + 18 + 8 + 614 + 6 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216188614651) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 197793246 + ... + 197794338.

Almost surely, 2^216188614656 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 216188614656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377926894800).

216188614656 is an abundant number, since it is smaller than the sum of its proper divisors (539665174944).

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

216188614656 is a wasteful number, since it uses less digits than its factorization.

216188614656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1211 (or 1178 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The spelling of 216188614656 in words is "two hundred sixteen billion, one hundred eighty-eight million, six hundred fourteen thousand, six hundred fifty-six".