16138474311168 has 1280 divisors, whose sum is σ = 56321596615680. Its totient is φ = 4508614656000.

The previous prime is 16138474311163. The next prime is 16138474311199. The reversal of 16138474311168 is 86111347483161.

16138474311168 is a `hidden beast` number, since 1 + 6 + 1 + 3 + 8 + 47 + 431 + 1 + 168 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16138474311161) 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 127 ways as a sum of consecutive naturals, for example, 29503609071 + ... + 29503609617.

It is an arithmetic number, because the mean of its divisors is an integer number (44001247356).

Almost surely, 2^{16138474311168} is an apocalyptic number.

16138474311168 is a gapful number since it is divisible by the number (18) 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 16138474311168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28160798307840).

16138474311168 is an abundant number, since it is smaller than the sum of its proper divisors (40183122304512).

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

16138474311168 is a wasteful number, since it uses less digits than its factorization.

16138474311168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 794 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The spelling of 16138474311168 in words is "sixteen trillion, one hundred thirty-eight billion, four hundred seventy-four million, three hundred eleven thousand, one hundred sixty-eight".