16449825600 has 672 divisors, whose sum is σ = 68416871040. Its totient is φ = 3808788480.

The previous prime is 16449825599. The next prime is 16449825629. The reversal of 16449825600 is 652894461.

16449825600 is a `hidden beast` number, since 1 + 6 + 4 + 4 + 9 + 82 + 560 + 0 = 666.

16449825600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 9546339 + ... + 9548061.

It is an arithmetic number, because the mean of its divisors is an integer number (101810820).

Almost surely, 2^16449825600 is an apocalyptic number.

16449825600 is a gapful number since it is divisible by the number (10) 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 16449825600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34208435520).

16449825600 is an abundant number, since it is smaller than the sum of its proper divisors (51967045440).

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

16449825600 is a wasteful number, since it uses less digits than its factorization.

16449825600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1784 (or 1763 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 16449825600 in words is "sixteen billion, four hundred forty-nine million, eight hundred twenty-five thousand, six hundred".