16604118144 has 288 divisors, whose sum is σ = 51768617940. Its totient is φ = 5105418240.

The previous prime is 16604118121. The next prime is 16604118203. The reversal of 16604118144 is 44181140661.

It is a happy number.

16604118144 is a `hidden beast` number, since 1 + 6 + 604 + 1 + 1 + 8 + 1 + 44 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 15011150400 + 1592967744 = 122520^2 + 39912^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 16604118099 and 16604118108.

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 35 ways as a sum of consecutive naturals, for example, 17644714 + ... + 17645654.

Almost surely, 2^16604118144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16604118144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25884308970).

16604118144 is an abundant number, since it is smaller than the sum of its proper divisors (35164499796).

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

16604118144 is a wasteful number, since it uses less digits than its factorization.

16604118144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048 (or 1016 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 16604118144 in words is "sixteen billion, six hundred four million, one hundred eighteen thousand, one hundred forty-four".