16118121749184 has 1792 divisors, whose sum is σ = 62889652224000. Its totient is φ = 3932899246080.

The previous prime is 16118121749183. The next prime is 16118121749203. The reversal of 16118121749184 is 48194712181161.

16118121749184 is a `hidden beast` number, since 1 + 61 + 1 + 8 + 1 + 2 + 17 + 491 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a self number, because there is not a number n which added to its sum of digits gives 16118121749184.

It is not an unprimeable number, because it can be changed into a prime (16118121749183) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 15974352072 + ... + 15974353080.

It is an arithmetic number, because the mean of its divisors is an integer number (35094672000).

Almost surely, 2^{16118121749184} is an apocalyptic number.

16118121749184 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 16118121749184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31444826112000).

16118121749184 is an abundant number, since it is smaller than the sum of its proper divisors (46771530474816).

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

16118121749184 is a wasteful number, since it uses less digits than its factorization.

16118121749184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1223 (or 1207 counting only the distinct ones).

The product of its digits is 774144, while the sum is 54.

The spelling of 16118121749184 in words is "sixteen trillion, one hundred eighteen billion, one hundred twenty-one million, seven hundred forty-nine thousand, one hundred eighty-four".