981882288189 has 24 divisors (see below), whose sum is σ = 1547375547744. Its totient is φ = 595015908000.

The previous prime is 981882288161. The next prime is 981882288269.

It is a happy number.

981882288189 is a `hidden beast` number, since 98 + 1 + 8 + 82 + 288 + 189 = 666.

981882288189 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 981882288189 - 2¹¹ = 981882286141 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (981882288089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 393874 + ... + 1455644.

It is an arithmetic number, because the mean of its divisors is an integer number (64473981156).

Almost surely, 2^981882288189 is an apocalyptic number.

981882288189 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

It is an amenable number.

981882288189 is a deficient number, since it is larger than the sum of its proper divisors (565493259555).

981882288189 is a wasteful number, since it uses less digits than its factorization.

981882288189 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071129 (or 1071126 counting only the distinct ones).

The product of its digits is 84934656, while the sum is 72.

The spelling of 981882288189 in words is "nine hundred eighty-one billion, eight hundred eighty-two million, two hundred eighty-eight thousand, one hundred eighty-nine".