1345254253344 has 144 divisors (see below), whose sum is σ = 3860327441880. Its totient is φ = 444355215360.

The previous prime is 1345254253339. The next prime is 1345254253403. The reversal of 1345254253344 is 4433524525431.

1345254253344 is a `hidden beast` number, since 1 + 3 + 4 + 5 + 2 + 54 + 253 + 344 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1132972905744 + 212281347600 = 1064412^2 + 460740^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1345254253344² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1345254253344.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22420504 + ... + 22480424.

Almost surely, 2^{1345254253344} 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 1345254253344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1930163720940).

1345254253344 is an abundant number, since it is smaller than the sum of its proper divisors (2515073188536).

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

1345254253344 is a wasteful number, since it uses less digits than its factorization.

1345254253344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60643 (or 60632 counting only the distinct ones).

The product of its digits is 3456000, while the sum is 45.

Adding to 1345254253344 its reverse (4433524525431), we get a palindrome (5778778778775).

The spelling of 1345254253344 in words is "one trillion, three hundred forty-five billion, two hundred fifty-four million, two hundred fifty-three thousand, three hundred forty-four".