1108582680348 has 144 divisors (see below), whose sum is σ = 3303395143776. Its totient is φ = 309034298880.

The previous prime is 1108582680329. The next prime is 1108582680349. The reversal of 1108582680348 is 8430862858011.

1108582680348 is a `hidden beast` number, since 1 + 10 + 8 + 582 + 6 + 8 + 0 + 3 + 48 = 666.

It is a super-2 number, since 2×1108582680348² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1108582680294 and 1108582680303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1108582680349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1140886 + ... + 1875842.

It is an arithmetic number, because the mean of its divisors is an integer number (22940244054).

Almost surely, 2^{1108582680348} is an apocalyptic number.

1108582680348 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 1108582680348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1651697571888).

1108582680348 is an abundant number, since it is smaller than the sum of its proper divisors (2194812463428).

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

1108582680348 is a wasteful number, since it uses less digits than its factorization.

1108582680348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735284 (or 735279 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The spelling of 1108582680348 in words is "one trillion, one hundred eight billion, five hundred eighty-two million, six hundred eighty thousand, three hundred forty-eight".