16842868224 has 320 divisors, whose sum is σ = 56591377920. Its totient is φ = 4332257280.

The previous prime is 16842868219. The next prime is 16842868277. The reversal of 16842868224 is 42286824861.

16842868224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×16842868224² (a number of 21 digits) contains 22 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 (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5729347 + ... + 5732285.

It is an arithmetic number, because the mean of its divisors is an integer number (176848056).

Almost surely, 2^16842868224 is an apocalyptic number.

16842868224 is a gapful number since it is divisible by the number (14) 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 16842868224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28295688960).

16842868224 is an abundant number, since it is smaller than the sum of its proper divisors (39748509696).

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

16842868224 is a wasteful number, since it uses less digits than its factorization.

16842868224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3021 (or 3005 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 51.

The spelling of 16842868224 in words is "sixteen billion, eight hundred forty-two million, eight hundred sixty-eight thousand, two hundred twenty-four".