16221456144 has 80 divisors (see below), whose sum is σ = 47199508800. Its totient is φ = 5333071104.

The previous prime is 16221456143. The next prime is 16221456157. The reversal of 16221456144 is 44165412261.

16221456144 is a `hidden beast` number, since 1 + 6 + 22 + 14 + 5 + 614 + 4 = 666.

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 = 16221456099 and 16221456108.

It is not an unprimeable number, because it can be changed into a prime (16221456143) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 225654 + ... + 288725.

It is an arithmetic number, because the mean of its divisors is an integer number (589993860).

Almost surely, 2^16221456144 is an apocalyptic number.

It is an amenable number.

16221456144 is an abundant number, since it is smaller than the sum of its proper divisors (30978052656).

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

16221456144 is a wasteful number, since it uses less digits than its factorization.

16221456144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514469 (or 514457 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The spelling of 16221456144 in words is "sixteen billion, two hundred twenty-one million, four hundred fifty-six thousand, one hundred forty-four".