2117343821184 has 768 divisors, whose sum is σ = 6672347136000. Its totient is φ = 642756280320.

The previous prime is 2117343821119. The next prime is 2117343821191. The reversal of 2117343821184 is 4811283437112.

It is a happy number.

2117343821184 is a `hidden beast` number, since 2 + 1 + 17 + 3 + 438 + 21 + 184 = 666.

Its product of digits (258048) is a multiple of the sum of its prime divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14210361142 + ... + 14210361290.

It is an arithmetic number, because the mean of its divisors is an integer number (8687952000).

Almost surely, 2^{2117343821184} is an apocalyptic number.

2117343821184 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 2117343821184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3336173568000).

2117343821184 is an abundant number, since it is smaller than the sum of its proper divisors (4555003314816).

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

2117343821184 is a wasteful number, since it uses less digits than its factorization.

2117343821184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 448 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The spelling of 2117343821184 in words is "two trillion, one hundred seventeen billion, three hundred forty-three million, eight hundred twenty-one thousand, one hundred eighty-four".