19728616446 has 256 divisors, whose sum is σ = 58265395200. Its totient is φ = 4853040480.

The previous prime is 19728616379. The next prime is 19728616469. The reversal of 19728616446 is 64461682791.

19728616446 is a `hidden beast` number, since 19 + 7 + 2 + 8 + 616 + 4 + 4 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 19728616392 and 19728616401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6397621 + ... + 6400703.

It is an arithmetic number, because the mean of its divisors is an integer number (227599200).

Almost surely, 2^19728616446 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19728616446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29132697600).

19728616446 is an abundant number, since it is smaller than the sum of its proper divisors (38536778754).

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

19728616446 is a wasteful number, since it uses less digits than its factorization.

19728616446 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3143 (or 3125 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The spelling of 19728616446 in words is "nineteen billion, seven hundred twenty-eight million, six hundred sixteen thousand, four hundred forty-six".