1306353283648 has 112 divisors (see below), whose sum is σ = 3043382158080. Its totient is φ = 544610912256.

The previous prime is 1306353283621. The next prime is 1306353283657. The reversal of 1306353283648 is 8463823536031.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 1306353283595 and 1306353283604.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133746861 + ... + 133756627.

Almost surely, 2^{1306353283648} 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 1306353283648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1521691079040).

1306353283648 is an abundant number, since it is smaller than the sum of its proper divisors (1737028874432).

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

1306353283648 is an equidigital number, since it uses as much as digits as its factorization.

1306353283648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17892 (or 17882 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 52.

The spelling of 1306353283648 in words is "one trillion, three hundred six billion, three hundred fifty-three million, two hundred eighty-three thousand, six hundred forty-eight".