1080338128848 has 180 divisors, whose sum is σ = 3324230347620. Its totient is φ = 327282785280.

The previous prime is 1080338128841. The next prime is 1080338128867. The reversal of 1080338128848 is 8488218330801.

1080338128848 is a `hidden beast` number, since 108 + 0 + 338 + 128 + 84 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 800717149584 + 279620979264 = 894828^2 + 528792^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1080338128794 and 1080338128803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1080338128841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 85946308 + ... + 85958876.

Almost surely, 2^{1080338128848} is an apocalyptic number.

1080338128848 is a gapful number since it is divisible by the number (18) 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 1080338128848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1662115173810).

1080338128848 is an abundant number, since it is smaller than the sum of its proper divisors (2243892218772).

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

1080338128848 is a wasteful number, since it uses less digits than its factorization.

1080338128848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17538 (or 17518 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 54.

The spelling of 1080338128848 in words is "one trillion, eighty billion, three hundred thirty-eight million, one hundred twenty-eight thousand, eight hundred forty-eight".