1348783047360 has 2016 divisors, whose sum is σ = 6091267553280. Its totient is φ = 282175488000.

The previous prime is 1348783047343. The next prime is 1348783047401. The reversal of 1348783047360 is 637403878431.

1348783047360 is a `hidden beast` number, since 1 + 3 + 4 + 87 + 8 + 30 + 473 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1348783047297 and 1348783047306.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2244231060 + ... + 2244231660.

It is an arithmetic number, because the mean of its divisors is an integer number (3021462080).

Almost surely, 2^{1348783047360} is an apocalyptic number.

1348783047360 is a gapful number since it is divisible by the number (10) 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 1348783047360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3045633776640).

1348783047360 is an abundant number, since it is smaller than the sum of its proper divisors (4742484505920).

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

1348783047360 is a wasteful number, since it uses less digits than its factorization.

1348783047360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 1348783047360 in words is "one trillion, three hundred forty-eight billion, seven hundred eighty-three million, forty-seven thousand, three hundred sixty".