16828316176 has 135 divisors (see below), whose sum is σ = 39222821703. Its totient is φ = 6973962240.

The previous prime is 16828316171. The next prime is 16828316177. The reversal of 16828316176 is 67161382861.

It is a happy number.

The square root of 16828316176 is 129724.

It is a perfect power (a square), and thus also a powerful number.

16828316176 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 14801155600 + 2027160576 = 121660^2 + 45024^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16828316171) 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 26 ways as a sum of consecutive naturals, for example, 148923096 + ... + 148923208.

Almost surely, 2^16828316176 is an apocalyptic number.

16828316176 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

16828316176 is the 129724-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16828316176

16828316176 is an abundant number, since it is smaller than the sum of its proper divisors (22394505527).

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

16828316176 is an equidigital number, since it uses as much as digits as its factorization.

16828316176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 163 counting only the distinct ones).

The product of its digits is 580608, while the sum is 49.

Multiplying 16828316176 by its sum of digits (49), we get a square (824587492624 = 908068²).

16828316176 divided by its sum of digits (49) gives a square (343435024 = 18532²).

The spelling of 16828316176 in words is "sixteen billion, eight hundred twenty-eight million, three hundred sixteen thousand, one hundred seventy-six".