985538928546 has 80 divisors (see below), whose sum is σ = 2268628278840. Its totient is φ = 319548810240.

The previous prime is 985538928529. The next prime is 985538928547. The reversal of 985538928546 is 645829835589.

985538928546 is a `hidden beast` number, since 9 + 8 + 5 + 53 + 8 + 9 + 28 + 546 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 982400127921 + 3138800625 = 991161^2 + 56025^2 .

It is a super-3 number, since 3×985538928546³ (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (985538928547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 24729316 + ... + 24769136.

Almost surely, 2^985538928546 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 985538928546, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1134314139420).

985538928546 is an abundant number, since it is smaller than the sum of its proper divisors (1283089350294).

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

985538928546 is a wasteful number, since it uses less digits than its factorization.

985538928546 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44001 (or 43992 counting only the distinct ones).

The product of its digits is 746496000, while the sum is 72.

The spelling of 985538928546 in words is "nine hundred eighty-five billion, five hundred thirty-eight million, nine hundred twenty-eight thousand, five hundred forty-six".