1305345553344 has 168 divisors, whose sum is σ = 4287040224480. Its totient is φ = 371996669952.

The previous prime is 1305345553327. The next prime is 1305345553373. The reversal of 1305345553344 is 4433555435031.

1305345553344 is a `hidden beast` number, since 1 + 3 + 0 + 53 + 4 + 5 + 553 + 3 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a self number, because there is not a number n which added to its sum of digits gives 1305345553344.

It is a congruent number.

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, 1152322 + ... + 1984574.

Almost surely, 2^{1305345553344} is an apocalyptic number.

1305345553344 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 1305345553344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2143520112240).

1305345553344 is an abundant number, since it is smaller than the sum of its proper divisors (2981694671136).

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

1305345553344 is a wasteful number, since it uses less digits than its factorization.

1305345553344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832667 (or 832654 counting only the distinct ones).

The product of its (nonzero) digits is 3240000, while the sum is 45.

The spelling of 1305345553344 in words is "one trillion, three hundred five billion, three hundred forty-five million, five hundred fifty-three thousand, three hundred forty-four".