1106359288128 has 42 divisors (see below), whose sum is σ = 3171179141754. Its totient is φ = 368786429184.

The previous prime is 1106359288127. The next prime is 1106359288141. The reversal of 1106359288128 is 8218829536011.

1106359288128 is a `hidden beast` number, since 1 + 1 + 0 + 6 + 359 + 288 + 1 + 2 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 688846881024 + 417512407104 = 829968^2 + 646152^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1106359288127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 960380751 + ... + 960381902.

Almost surely, 2^{1106359288128} is an apocalyptic number.

1106359288128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1106359288128 is an abundant number, since it is smaller than the sum of its proper divisors (2064819853626).

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

1106359288128 is a wasteful number, since it uses less digits than its factorization.

1106359288128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1920762671 (or 1920762658 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 1106359288128 in words is "one trillion, one hundred six billion, three hundred fifty-nine million, two hundred eighty-eight thousand, one hundred twenty-eight".