1305082830848 has 224 divisors, whose sum is σ = 2774362752000. Its totient is φ = 612628955136.

The previous prime is 1305082830841. The next prime is 1305082830911. The reversal of 1305082830848 is 8480382805031.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1305082830796 and 1305082830805.

It is not an unprimeable number, because it can be changed into a prime (1305082830841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3739492178 + ... + 3739492526.

It is an arithmetic number, because the mean of its divisors is an integer number (12385548000).

Almost surely, 2^{1305082830848} 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 1305082830848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1387181376000).

1305082830848 is an abundant number, since it is smaller than the sum of its proper divisors (1469279921152).

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

1305082830848 is an equidigital number, since it uses as much as digits as its factorization.

1305082830848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 50.

The spelling of 1305082830848 in words is "one trillion, three hundred five billion, eighty-two million, eight hundred thirty thousand, eight hundred forty-eight".