981342123598848 has 1408 divisors, whose sum is σ = 3013739725455360. Its totient is φ = 283655806156800.

The previous prime is 981342123598799. The next prime is 981342123598853. The reversal of 981342123598848 is 848895321243189.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a self number, because there is not a number n which added to its sum of digits gives 981342123598848.

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 127 ways as a sum of consecutive naturals, for example, 1585366919883 + ... + 1585366920501.

It is an arithmetic number, because the mean of its divisors is an integer number (2140440145920).

Almost surely, 2^{981342123598848} 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 981342123598848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1506869862727680).

981342123598848 is an abundant number, since it is smaller than the sum of its proper divisors (2032397601856512).

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

981342123598848 is a wasteful number, since it uses less digits than its factorization.

981342123598848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 876 counting only the distinct ones).

The product of its digits is 955514880, while the sum is 75.

The spelling of 981342123598848 in words is "nine hundred eighty-one trillion, three hundred forty-two billion, one hundred twenty-three million, five hundred ninety-eight thousand, eight hundred forty-eight".