16448282064 has 320 divisors, whose sum is σ = 51806208000. Its totient is φ = 4977262080.

The previous prime is 16448282063. The next prime is 16448282087. The reversal of 16448282064 is 46028284461.

16448282064 is a `hidden beast` number, since 164 + 482 + 8 + 2 + 0 + 6 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16448282063) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32314642 + ... + 32315150.

It is an arithmetic number, because the mean of its divisors is an integer number (161894400).

Almost surely, 2^16448282064 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 16448282064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25903104000).

16448282064 is an abundant number, since it is smaller than the sum of its proper divisors (35357925936).

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

16448282064 is a wasteful number, since it uses less digits than its factorization.

16448282064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 16448282064 in words is "sixteen billion, four hundred forty-eight million, two hundred eighty-two thousand, sixty-four".