19380816224 has 192 divisors, whose sum is σ = 49046280192. Its totient is φ = 7319961600.

The previous prime is 19380816211. The next prime is 19380816227. The reversal of 19380816224 is 42261808391.

It is a happy number.

It is a Cunningham number, because it is equal to 139215²-1.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19380816227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13085564 + ... + 13087044.

It is an arithmetic number, because the mean of its divisors is an integer number (255449376).

Almost surely, 2^19380816224 is an apocalyptic number.

19380816224 is a gapful number since it is divisible by the number (14) 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 19380816224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24523140096).

19380816224 is an abundant number, since it is smaller than the sum of its proper divisors (29665463968).

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

19380816224 is a wasteful number, since it uses less digits than its factorization.

19380816224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1669 (or 1661 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 44.

The spelling of 19380816224 in words is "nineteen billion, three hundred eighty million, eight hundred sixteen thousand, two hundred twenty-four".