16484249376000 has 1728 divisors, whose sum is σ = 72166831027200. Its totient is φ = 3526911590400.

The previous prime is 16484249375953. The next prime is 16484249376011. The reversal of 16484249376000 is 67394248461.

16484249376000 is a `hidden beast` number, since 1 + 6 + 4 + 8 + 4 + 24 + 9 + 3 + 7 + 600 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6820126792 + ... + 6820129208.

It is an arithmetic number, because the mean of its divisors is an integer number (41763212400).

Almost surely, 2^{16484249376000} is an apocalyptic number.

16484249376000 is a gapful number since it is divisible by the number (10) 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 16484249376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36083415513600).

16484249376000 is an abundant number, since it is smaller than the sum of its proper divisors (55682581651200).

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

16484249376000 is a wasteful number, since it uses less digits than its factorization.

16484249376000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2677 (or 2650 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 16484249376000 in words is "sixteen trillion, four hundred eighty-four billion, two hundred forty-nine million, three hundred seventy-six thousand".