216117210456 has 256 divisors, whose sum is σ = 741718656000. Its totient is φ = 56916587520.

The previous prime is 216117210451. The next prime is 216117210481. The reversal of 216117210456 is 654012711612.

216117210456 is a `hidden beast` number, since 21 + 6 + 1 + 172 + 10 + 456 = 666.

216117210456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 216117210456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216117210451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 961276 + ... + 1164596.

It is an arithmetic number, because the mean of its divisors is an integer number (2897338500).

Almost surely, 2^216117210456 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 216117210456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370859328000).

216117210456 is an abundant number, since it is smaller than the sum of its proper divisors (525601445544).

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

216117210456 is a wasteful number, since it uses less digits than its factorization.

216117210456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203399 (or 203389 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 216117210456 in words is "two hundred sixteen billion, one hundred seventeen million, two hundred ten thousand, four hundred fifty-six".