216613071603864 has 192 divisors, whose sum is σ = 632197066300800. Its totient is φ = 66607048424448.

The previous prime is 216613071603767. The next prime is 216613071603883. The reversal of 216613071603864 is 468306170316612.

216613071603864 is a `hidden beast` number, since 2 + 1 + 6 + 6 + 130 + 71 + 60 + 386 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 216613071603864.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 15440371602 + ... + 15440385630.

It is an arithmetic number, because the mean of its divisors is an integer number (3292693053650).

Almost surely, 2^{216613071603864} is an apocalyptic number.

216613071603864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216613071603864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316098533150400).

216613071603864 is an abundant number, since it is smaller than the sum of its proper divisors (415583994696936).

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

216613071603864 is a wasteful number, since it uses less digits than its factorization.

216613071603864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23554 (or 23547 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 216613071603864 in words is "two hundred sixteen trillion, six hundred thirteen billion, seventy-one million, six hundred three thousand, eight hundred sixty-four".