9994931444160 has 1344 divisors, whose sum is σ = 39798269521920. Its totient is φ = 2370990735360.

The previous prime is 9994931444143. The next prime is 9994931444167. The reversal of 9994931444160 is 614441394999.

9994931444160 is a `hidden beast` number, since 9 + 9 + 9 + 493 + 1 + 44 + 41 + 60 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9994931444167) 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 191 ways as a sum of consecutive naturals, for example, 9808568131 + ... + 9808569149.

It is an arithmetic number, because the mean of its divisors is an integer number (29611807680).

Almost surely, 2^{9994931444160} is an apocalyptic number.

9994931444160 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9994931444160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19899134760960).

9994931444160 is an abundant number, since it is smaller than the sum of its proper divisors (29803338077760).

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

9994931444160 is a wasteful number, since it uses less digits than its factorization.

9994931444160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1408 (or 1386 counting only the distinct ones).

The product of its (nonzero) digits is 30233088, while the sum is 63.

The spelling of 9994931444160 in words is "nine trillion, nine hundred ninety-four billion, nine hundred thirty-one million, four hundred forty-four thousand, one hundred sixty".