1006854043184 has 80 divisors (see below), whose sum is σ = 2145521725440. Its totient is φ = 453921511680.

The previous prime is 1006854043183. The next prime is 1006854043189. The reversal of 1006854043184 is 4813404586001.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (1006854043183) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137751722 + ... + 137759030.

It is an arithmetic number, because the mean of its divisors is an integer number (26819021568).

Almost surely, 2^{1006854043184} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1006854043184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1072760862720).

1006854043184 is an abundant number, since it is smaller than the sum of its proper divisors (1138667682256).

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

1006854043184 is a wasteful number, since it uses less digits than its factorization.

1006854043184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13618 (or 13612 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 44.

The spelling of 1006854043184 in words is "one trillion, six billion, eight hundred fifty-four million, forty-three thousand, one hundred eighty-four".