9984310167312 has 640 divisors, whose sum is σ = 32237331678720. Its totient is φ = 2939153817600.

The previous prime is 9984310167301. The next prime is 9984310167313. The reversal of 9984310167312 is 2137610134899.

9984310167312 is a `hidden beast` number, since 9 + 9 + 8 + 4 + 310 + 1 + 6 + 7 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (9984310167313) 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 127 ways as a sum of consecutive naturals, for example, 2014181538 + ... + 2014186494.

It is an arithmetic number, because the mean of its divisors is an integer number (50370830748).

Almost surely, 2^{9984310167312} 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 9984310167312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16118665839360).

9984310167312 is an abundant number, since it is smaller than the sum of its proper divisors (22253021511408).

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

9984310167312 is a wasteful number, since it uses less digits than its factorization.

9984310167312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5208 (or 5196 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 9984310167312 in words is "nine trillion, nine hundred eighty-four billion, three hundred ten million, one hundred sixty-seven thousand, three hundred twelve".