1085173844112 has 960 divisors, whose sum is σ = 3685264128000. Its totient is φ = 306797912064.

The previous prime is 1085173844077. The next prime is 1085173844173. The reversal of 1085173844112 is 2114483715801.

1085173844112 is a `hidden beast` number, since 1 + 0 + 8 + 517 + 3 + 84 + 41 + 12 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3022768189 + ... + 3022768547.

It is an arithmetic number, because the mean of its divisors is an integer number (3838816800).

Almost surely, 2^{1085173844112} is an apocalyptic number.

1085173844112 is a gapful number since it is divisible by the number (12) 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 1085173844112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1842632064000).

1085173844112 is an abundant number, since it is smaller than the sum of its proper divisors (2600090283888).

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

1085173844112 is a wasteful number, since it uses less digits than its factorization.

1085173844112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 1085173844112 in words is "one trillion, eighty-five billion, one hundred seventy-three million, eight hundred forty-four thousand, one hundred twelve".