19349907456 has 192 divisors, whose sum is σ = 56609280000. Its totient is φ = 5829017600.

The previous prime is 19349907443. The next prime is 19349907461. The reversal of 19349907456 is 65470994391.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 19349907396 and 19349907405.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12907795 + ... + 12909293.

It is an arithmetic number, because the mean of its divisors is an integer number (294840000).

Almost surely, 2^19349907456 is an apocalyptic number.

19349907456 is a gapful number since it is divisible by the number (16) 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 19349907456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28304640000).

19349907456 is an abundant number, since it is smaller than the sum of its proper divisors (37259372544).

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

19349907456 is a wasteful number, since it uses less digits than its factorization.

19349907456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1726 (or 1706 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 57.

The spelling of 19349907456 in words is "nineteen billion, three hundred forty-nine million, nine hundred seven thousand, four hundred fifty-six".