16649193600 has 864 divisors, whose sum is σ = 67524415140. Its totient is φ = 4031078400.

The previous prime is 16649193571. The next prime is 16649193643. The reversal of 16649193600 is 639194661.

16649193600 is a `hidden beast` number, since 16 + 6 + 491 + 93 + 60 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 353139264 + 16296054336 = 18792^2 + 127656^2 .

It is a tau number, because it is divible by the number of its divisors (864).

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

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 107 ways as a sum of consecutive naturals, for example, 272937570 + ... + 272937630.

Almost surely, 2^16649193600 is an apocalyptic number.

16649193600 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 16649193600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33762207570).

16649193600 is an abundant number, since it is smaller than the sum of its proper divisors (50875221540).

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

16649193600 is an frugal number, since it uses more digits than its factorization.

16649193600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 16649193600 in words is "sixteen billion, six hundred forty-nine million, one hundred ninety-three thousand, six hundred".