16874137728 has 384 divisors, whose sum is σ = 60592896000. Its totient is φ = 4566316032.

The previous prime is 16874137723. The next prime is 16874137769. The reversal of 16874137728 is 82773147861.

16874137728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (16874137723) 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, 4134793 + ... + 4138871.

It is an arithmetic number, because the mean of its divisors is an integer number (157794000).

Almost surely, 2^16874137728 is an apocalyptic number.

16874137728 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 16874137728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30296448000).

16874137728 is an abundant number, since it is smaller than the sum of its proper divisors (43718758272).

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

16874137728 is an equidigital number, since it uses as much as digits as its factorization.

16874137728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4134 (or 4110 counting only the distinct ones).

The product of its digits is 3161088, while the sum is 54.

The spelling of 16874137728 in words is "sixteen billion, eight hundred seventy-four million, one hundred thirty-seven thousand, seven hundred twenty-eight".