984985671168 has 240 divisors, whose sum is σ = 3043131227136. Its totient is φ = 317736069120.

The previous prime is 984985671161. The next prime is 984985671239. The reversal of 984985671168 is 861176589489.

984985671168 is a `hidden beast` number, since 9 + 8 + 49 + 8 + 567 + 1 + 16 + 8 = 666.

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 = 984985671096 and 984985671105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (984985671161) 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 23 ways as a sum of consecutive naturals, for example, 3729205 + ... + 3984587.

Almost surely, 2^984985671168 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 984985671168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1521565613568).

984985671168 is an abundant number, since it is smaller than the sum of its proper divisors (2058145555968).

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

984985671168 is an equidigital number, since it uses as much as digits as its factorization.

984985671168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255447 (or 255419 counting only the distinct ones).

The product of its digits is 209018880, while the sum is 72.

The spelling of 984985671168 in words is "nine hundred eighty-four billion, nine hundred eighty-five million, six hundred seventy-one thousand, one hundred sixty-eight".