9981817746160 has 320 divisors, whose sum is σ = 26367880347648. Its totient is φ = 3486518525952.

The previous prime is 9981817746149. The next prime is 9981817746181. The reversal of 9981817746160 is 616477181899.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1316337729 + ... + 1316345311.

Almost surely, 2^{9981817746160} 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 9981817746160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13183940173824).

9981817746160 is an abundant number, since it is smaller than the sum of its proper divisors (16386062601488).

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

9981817746160 is a wasteful number, since it uses less digits than its factorization.

9981817746160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8232 (or 8226 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 67.

The spelling of 9981817746160 in words is "nine trillion, nine hundred eighty-one billion, eight hundred seventeen million, seven hundred forty-six thousand, one hundred sixty".