1348680545280 has 264 divisors, whose sum is σ = 4676765948712. Its totient is φ = 359369342976.

The previous prime is 1348680545269. The next prime is 1348680545293. The reversal of 1348680545280 is 825450868431.

1348680545280 is a `hidden beast` number, since 1 + 3 + 4 + 8 + 68 + 0 + 54 + 528 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1010459206656 + 338221338624 = 1005216^2 + 581568^2 .

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, 63257182 + ... + 63278498.

It is an arithmetic number, because the mean of its divisors is an integer number (17715022533).

Almost surely, 2^{1348680545280} is an apocalyptic number.

1348680545280 is a gapful number since it is divisible by the number (10) 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 1348680545280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2338382974356).

1348680545280 is an abundant number, since it is smaller than the sum of its proper divisors (3328085403432).

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

1348680545280 is a wasteful number, since it uses less digits than its factorization.

1348680545280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22721 (or 22700 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 1348680545280 in words is "one trillion, three hundred forty-eight billion, six hundred eighty million, five hundred forty-five thousand, two hundred eighty".