16428805344 has 384 divisors, whose sum is σ = 56140922880. Its totient is φ = 4577513472.

The previous prime is 16428805201. The next prime is 16428805357. The reversal of 16428805344 is 44350882461.

16428805344 is a `hidden beast` number, since 16 + 4 + 28 + 80 + 534 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 16428805344.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56070862 + ... + 56071154.

It is an arithmetic number, because the mean of its divisors is an integer number (146200320).

Almost surely, 2^16428805344 is an apocalyptic number.

16428805344 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 16428805344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28070461440).

16428805344 is an abundant number, since it is smaller than the sum of its proper divisors (39712117536).

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

16428805344 is a wasteful number, since it uses less digits than its factorization.

16428805344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 16428805344 in words is "sixteen billion, four hundred twenty-eight million, eight hundred five thousand, three hundred forty-four".