1368279817344 has 960 divisors, whose sum is σ = 4670749923840. Its totient is φ = 396887040000.

The previous prime is 1368279817339. The next prime is 1368279817379. The reversal of 1368279817344 is 4437189728631.

1368279817344 is a `hidden beast` number, since 1 + 3 + 6 + 8 + 279 + 8 + 17 + 344 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5872445452 + ... + 5872445684.

It is an arithmetic number, because the mean of its divisors is an integer number (4865364504).

Almost surely, 2^{1368279817344} 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 1368279817344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2335374961920).

1368279817344 is an abundant number, since it is smaller than the sum of its proper divisors (3302470106496).

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

1368279817344 is a wasteful number, since it uses less digits than its factorization.

1368279817344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 431 counting only the distinct ones).

The product of its digits is 48771072, while the sum is 63.

The spelling of 1368279817344 in words is "one trillion, three hundred sixty-eight billion, two hundred seventy-nine million, eight hundred seventeen thousand, three hundred forty-four".