985939181568 has 1152 divisors, whose sum is σ = 3543334502400. Its totient is φ = 267544166400.

The previous prime is 985939181533. The next prime is 985939181569. The reversal of 985939181568 is 865181939589.

985939181568 is a `hidden beast` number, since 9 + 8 + 59 + 3 + 9 + 1 + 8 + 1 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 985939181496 and 985939181505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (985939181569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22928818155 + ... + 22928818197.

It is an arithmetic number, because the mean of its divisors is an integer number (3075811200).

Almost surely, 2^985939181568 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 985939181568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1771667251200).

985939181568 is an abundant number, since it is smaller than the sum of its proper divisors (2557395320832).

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

985939181568 is a wasteful number, since it uses less digits than its factorization.

985939181568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 109 counting only the distinct ones).

The product of its digits is 167961600, while the sum is 72.

The spelling of 985939181568 in words is "nine hundred eighty-five billion, nine hundred thirty-nine million, one hundred eighty-one thousand, five hundred sixty-eight".