16842668333424 has 160 divisors (see below), whose sum is σ = 44667898404864. Its totient is φ = 5466129039360.

The previous prime is 16842668333417. The next prime is 16842668333453. The reversal of 16842668333424 is 42433386624861.

It is a happy number.

It is a super-3 number, since 3×16842668333424³ (a number of 41 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

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 31 ways as a sum of consecutive naturals, for example, 730975344 + ... + 730998384.

Almost surely, 2^{16842668333424} 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 16842668333424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22333949202432).

16842668333424 is an abundant number, since it is smaller than the sum of its proper divisors (27825230071440).

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

16842668333424 is a wasteful number, since it uses less digits than its factorization.

16842668333424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24775 (or 24769 counting only the distinct ones).

The product of its digits is 95551488, while the sum is 60.

The spelling of 16842668333424 in words is "sixteen trillion, eight hundred forty-two billion, six hundred sixty-eight million, three hundred thirty-three thousand, four hundred twenty-four".