16545468880224 has 240 divisors, whose sum is σ = 49619509632000. Its totient is φ = 5406887759616.

The previous prime is 16545468880223. The next prime is 16545468880247. The reversal of 16545468880224 is 42208886454561.

16545468880224 is a `hidden beast` number, since 1 + 6 + 5 + 4 + 546 + 8 + 8 + 80 + 2 + 2 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16545468880223) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 55977177 + ... + 56271975.

It is an arithmetic number, because the mean of its divisors is an integer number (206747956800).

Almost surely, 2^{16545468880224} 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 16545468880224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24809754816000).

16545468880224 is an abundant number, since it is smaller than the sum of its proper divisors (33074040751776).

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

16545468880224 is a wasteful number, since it uses less digits than its factorization.

16545468880224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295247 (or 295230 counting only the distinct ones).

The product of its (nonzero) digits is 117964800, while the sum is 63.

The spelling of 16545468880224 in words is "sixteen trillion, five hundred forty-five billion, four hundred sixty-eight million, eight hundred eighty thousand, two hundred twenty-four".