1319648378304 has 224 divisors, whose sum is σ = 3685912750080. Its totient is φ = 415864627200.

The previous prime is 1319648378303. The next prime is 1319648378317. The reversal of 1319648378304 is 4038738469131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1319648378303) by changing a digit.

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, 207456084 + ... + 207462444.

Almost surely, 2^{1319648378304} 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 1319648378304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1842956375040).

1319648378304 is an abundant number, since it is smaller than the sum of its proper divisors (2366264371776).

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

1319648378304 is a wasteful number, since it uses less digits than its factorization.

1319648378304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6939 (or 6929 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 57.

The spelling of 1319648378304 in words is "one trillion, three hundred nineteen billion, six hundred forty-eight million, three hundred seventy-eight thousand, three hundred four".