1085042806848 has 1176 divisors, whose sum is σ = 4413123731520. Its totient is φ = 260071741440.

The previous prime is 1085042806843. The next prime is 1085042806867. The reversal of 1085042806848 is 8486082405801.

1085042806848 is a `hidden beast` number, since 10 + 8 + 504 + 2 + 80 + 6 + 8 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (1176).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1085042806794 and 1085042806803.

It is not an unprimeable number, because it can be changed into a prime (1085042806843) 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 167 ways as a sum of consecutive naturals, for example, 326916933 + ... + 326920251.

Almost surely, 2^{1085042806848} is an apocalyptic number.

1085042806848 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 1085042806848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2206561865760).

1085042806848 is an abundant number, since it is smaller than the sum of its proper divisors (3328080924672).

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

1085042806848 is a wasteful number, since it uses less digits than its factorization.

1085042806848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3387 (or 3355 counting only the distinct ones).

The product of its (nonzero) digits is 3932160, while the sum is 54.

The spelling of 1085042806848 in words is "one trillion, eighty-five billion, forty-two million, eight hundred six thousand, eight hundred forty-eight".