1344265118784 has 700 divisors, whose sum is σ = 4922910221724. Its totient is φ = 361426157568.

The previous prime is 1344265118717. The next prime is 1344265118809. The reversal of 1344265118784 is 4878115624431.

It is a happy number.

1344265118784 is a `hidden beast` number, since 1 + 3 + 4 + 42 + 6 + 511 + 8 + 7 + 84 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 841402598400 + 502862520384 = 917280^2 + 709128^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 1344265118784.

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 99 ways as a sum of consecutive naturals, for example, 211592152 + ... + 211598504.

Almost surely, 2^{1344265118784} is an apocalyptic number.

1344265118784 is a gapful number since it is divisible by the number (14) 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 1344265118784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2461455110862).

1344265118784 is an abundant number, since it is smaller than the sum of its proper divisors (3578645102940).

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

1344265118784 is an frugal number, since it uses more digits than its factorization.

1344265118784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6422 (or 6382 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 54.

The spelling of 1344265118784 in words is "one trillion, three hundred forty-four billion, two hundred sixty-five million, one hundred eighteen thousand, seven hundred eighty-four".