16163884800000 has 3456 divisors, whose sum is σ = 73521019353600. Its totient is φ = 3491389440000.

The previous prime is 16163884799971. The next prime is 16163884800001. The reversal of 16163884800000 is 848836161.

It is a happy number.

16163884800000 is a `hidden beast` number, since 1 + 6 + 1 + 638 + 8 + 4 + 8 + 0 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a super-2 number, since 2×16163884800000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16163884800001) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 194745599959 + ... + 194745600041.

It is an arithmetic number, because the mean of its divisors is an integer number (21273443100).

Almost surely, 2^{16163884800000} is an apocalyptic number.

16163884800000 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 16163884800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36760509676800).

16163884800000 is an abundant number, since it is smaller than the sum of its proper divisors (57357134553600).

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

16163884800000 is an frugal number, since it uses more digits than its factorization.

16163884800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 16163884800000 in words is "sixteen trillion, one hundred sixty-three billion, eight hundred eighty-four million, eight hundred thousand".