216395458164 has 144 divisors (see below), whose sum is σ = 567323492736. Its totient is φ = 69498777600.

The previous prime is 216395458159. The next prime is 216395458171. The reversal of 216395458164 is 461854593612.

216395458164 is a `hidden beast` number, since 2 + 1 + 6 + 3 + 9 + 54 + 581 + 6 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 216395458164.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 81749889 + ... + 81752535.

Almost surely, 2^216395458164 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 216395458164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283661746368).

216395458164 is an abundant number, since it is smaller than the sum of its proper divisors (350928034572).

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

216395458164 is a wasteful number, since it uses less digits than its factorization.

216395458164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3366 (or 3361 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The spelling of 216395458164 in words is "two hundred sixteen billion, three hundred ninety-five million, four hundred fifty-eight thousand, one hundred sixty-four".