16221584448 has 224 divisors, whose sum is σ = 48572928000. Its totient is φ = 5307793920.

The previous prime is 16221584411. The next prime is 16221584453. The reversal of 16221584448 is 84448512261.

16221584448 is a `hidden beast` number, since 1 + 6 + 2 + 21 + 584 + 4 + 48 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45185293 + ... + 45185651.

Almost surely, 2^16221584448 is an apocalyptic number.

16221584448 is a gapful number since it is divisible by the number (18) 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 16221584448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24286464000).

16221584448 is an abundant number, since it is smaller than the sum of its proper divisors (32351343552).

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

16221584448 is a wasteful number, since it uses less digits than its factorization.

16221584448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 774 counting only the distinct ones).

The product of its digits is 491520, while the sum is 45.

The spelling of 16221584448 in words is "sixteen billion, two hundred twenty-one million, five hundred eighty-four thousand, four hundred forty-eight".