216849918265344 has 1536 divisors, whose sum is σ = 810758108160000. Its totient is φ = 55738813906944.

The previous prime is 216849918265327. The next prime is 216849918265363. The reversal of 216849918265344 is 443562819948612.

216849918265344 is a `hidden beast` number, since 2 + 1 + 6 + 8 + 4 + 9 + 9 + 1 + 82 + 6 + 534 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (72).

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 127 ways as a sum of consecutive naturals, for example, 139993490682 + ... + 139993492230.

It is an arithmetic number, because the mean of its divisors is an integer number (527837310000).

Almost surely, 2^{216849918265344} is an apocalyptic number.

216849918265344 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 216849918265344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405379054080000).

216849918265344 is an abundant number, since it is smaller than the sum of its proper divisors (593908189894656).

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

216849918265344 is a wasteful number, since it uses less digits than its factorization.

216849918265344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2290 (or 2264 counting only the distinct ones).

The product of its digits is 716636160, while the sum is 72.

The spelling of 216849918265344 in words is "two hundred sixteen trillion, eight hundred forty-nine billion, nine hundred eighteen million, two hundred sixty-five thousand, three hundred forty-four".