16828471296 has 576 divisors, whose sum is σ = 61054156800. Its totient is φ = 4347592704.

The previous prime is 16828471243. The next prime is 16828471327. The reversal of 16828471296 is 69217482861.

It is a happy number.

16828471296 is a `hidden beast` number, since 1 + 6 + 8 + 284 + 71 + 296 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 132507585 + ... + 132507711.

It is an arithmetic number, because the mean of its divisors is an integer number (105996800).

Almost surely, 2^16828471296 is an apocalyptic number.

16828471296 is a gapful number since it is divisible by the number (16) 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 16828471296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30527078400).

16828471296 is an abundant number, since it is smaller than the sum of its proper divisors (44225685504).

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

16828471296 is a wasteful number, since it uses less digits than its factorization.

16828471296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 231 counting only the distinct ones).

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

The spelling of 16828471296 in words is "sixteen billion, eight hundred twenty-eight million, four hundred seventy-one thousand, two hundred ninety-six".