16219451353728 has 256 divisors, whose sum is σ = 49523627520000. Its totient is φ = 4607247237120.

The previous prime is 16219451353709. The next prime is 16219451353741. The reversal of 16219451353728 is 82735315491261.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 728004093 + ... + 728026371.

It is an arithmetic number, because the mean of its divisors is an integer number (193451670000).

Almost surely, 2^{16219451353728} 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 16219451353728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24761813760000).

16219451353728 is an abundant number, since it is smaller than the sum of its proper divisors (33304176166272).

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

16219451353728 is a wasteful number, since it uses less digits than its factorization.

16219451353728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23863 (or 23851 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 57.

The spelling of 16219451353728 in words is "sixteen trillion, two hundred nineteen billion, four hundred fifty-one million, three hundred fifty-three thousand, seven hundred twenty-eight".