984841908768 has 144 divisors (see below), whose sum is σ = 2952412182720. Its totient is φ = 310542156288.

The previous prime is 984841908737. The next prime is 984841908803. The reversal of 984841908768 is 867809148489.

It is a happy number.

984841908768 is a `hidden beast` number, since 9 + 8 + 484 + 1 + 9 + 0 + 87 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 984841908696 and 984841908705.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3571621 + ... + 3837467.

It is an arithmetic number, because the mean of its divisors is an integer number (20502862380).

Almost surely, 2^984841908768 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 984841908768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1476206091360).

984841908768 is an abundant number, since it is smaller than the sum of its proper divisors (1967570273952).

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

984841908768 is a wasteful number, since it uses less digits than its factorization.

984841908768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266559 (or 266548 counting only the distinct ones).

The product of its (nonzero) digits is 222953472, while the sum is 72.

The spelling of 984841908768 in words is "nine hundred eighty-four billion, eight hundred forty-one million, nine hundred eight thousand, seven hundred sixty-eight".