9985441993344 has 96 divisors (see below), whose sum is σ = 28746276349440. Its totient is φ = 3327075924480.

The previous prime is 9985441993337. The next prime is 9985441993361. The reversal of 9985441993344 is 4433991445899.

It is a happy number.

9985441993344 is a `hidden beast` number, since 9 + 9 + 8 + 544 + 1 + 9 + 9 + 33 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×9985441993344² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 903489 + ... + 4559295.

It is an arithmetic number, because the mean of its divisors is an integer number (299440378640).

Almost surely, 2^{9985441993344} 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 9985441993344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14373138174720).

9985441993344 is an abundant number, since it is smaller than the sum of its proper divisors (18760834356096).

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

9985441993344 is a wasteful number, since it uses less digits than its factorization.

9985441993344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3658198 (or 3658183 counting only the distinct ones).

The product of its digits is 604661760, while the sum is 72.

The spelling of 9985441993344 in words is "nine trillion, nine hundred eighty-five billion, four hundred forty-one million, nine hundred ninety-three thousand, three hundred forty-four".