19398008448 has 768 divisors, whose sum is σ = 72996618240. Its totient is φ = 4807434240.

The previous prime is 19398008431. The next prime is 19398008459. The reversal of 19398008448 is 84480089391.

19398008448 is a `hidden beast` number, since 193 + 9 + 8 + 0 + 0 + 8 + 448 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 19398008394 and 19398008403.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 152740161 + ... + 152740287.

It is an arithmetic number, because the mean of its divisors is an integer number (95047680).

Almost surely, 2^19398008448 is an apocalyptic number.

19398008448 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 19398008448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36498309120).

19398008448 is an abundant number, since it is smaller than the sum of its proper divisors (53598609792).

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

19398008448 is a wasteful number, since it uses less digits than its factorization.

19398008448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 19398008448 in words is "nineteen billion, three hundred ninety-eight million, eight thousand, four hundred forty-eight".