16804121084352 has 336 divisors, whose sum is σ = 58162711606272. Its totient is φ = 4710587581440.

The previous prime is 16804121084351. The next prime is 16804121084363. The reversal of 16804121084352 is 25348012140861.

16804121084352 is a `hidden beast` number, since 1 + 6 + 8 + 0 + 4 + 1 + 210 + 84 + 352 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 16804121084298 and 16804121084307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16804121084351) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 4313577 + ... + 7226007.

It is an arithmetic number, because the mean of its divisors is an integer number (173103308352).

Almost surely, 2^{16804121084352} is an apocalyptic number.

16804121084352 is a gapful number since it is divisible by the number (12) 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 16804121084352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29081355803136).

16804121084352 is an abundant number, since it is smaller than the sum of its proper divisors (41358590521920).

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

16804121084352 is an equidigital number, since it uses as much as digits as its factorization.

16804121084352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2912518 (or 2912496 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 16804121084352 in words is "sixteen trillion, eight hundred four billion, one hundred twenty-one million, eighty-four thousand, three hundred fifty-two".