981875843859456 has 3168 divisors, whose sum is σ = 3833290246705920. Its totient is φ = 239056063561728.

The previous prime is 981875843859437. The next prime is 981875843859467. The reversal of 981875843859456 is 654958348578189.

981875843859456 is a `hidden beast` number, since 9 + 8 + 1 + 8 + 7 + 5 + 8 + 4 + 3 + 8 + 594 + 5 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2236619234085 + ... + 2236619234523.

It is an arithmetic number, because the mean of its divisors is an integer number (1210003234440).

Almost surely, 2^{981875843859456} is an apocalyptic number.

981875843859456 is a gapful number since it is divisible by the number (96) 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 981875843859456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1916645123352960).

981875843859456 is an abundant number, since it is smaller than the sum of its proper divisors (2851414402846464).

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

981875843859456 is a wasteful number, since it uses less digits than its factorization.

981875843859456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 889 (or 861 counting only the distinct ones).

The product of its digits is 83607552000, while the sum is 90.

The spelling of 981875843859456 in words is "nine hundred eighty-one trillion, eight hundred seventy-five billion, eight hundred forty-three million, eight hundred fifty-nine thousand, four hundred fifty-six".