981066816000 has 960 divisors, whose sum is σ = 3694526035200. Its totient is φ = 259482009600.

The previous prime is 981066815947. The next prime is 981066816029. The reversal of 981066816000 is 618660189.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3094847842 + ... + 3094848158.

It is an arithmetic number, because the mean of its divisors is an integer number (3848464620).

Almost surely, 2^981066816000 is an apocalyptic number.

981066816000 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 981066816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1847263017600).

981066816000 is an abundant number, since it is smaller than the sum of its proper divisors (2713459219200).

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

981066816000 is an equidigital number, since it uses as much as digits as its factorization.

981066816000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 981066816000 in words is "nine hundred eighty-one billion, sixty-six million, eight hundred sixteen thousand".