987163084512 has 144 divisors (see below), whose sum is σ = 3242593356912. Its totient is φ = 281543823360.

The previous prime is 987163084499. The next prime is 987163084519. The reversal of 987163084512 is 215480361789.

987163084512 is a `hidden beast` number, since 9 + 8 + 7 + 16 + 30 + 84 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (987163084519) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 9110983 + ... + 9218694.

It is an arithmetic number, because the mean of its divisors is an integer number (22518009423).

It is a 1-persistent number, because it is pandigital, but 2⋅987163084512 = 1974326169024 is not.

Almost surely, 2^987163084512 is an apocalyptic number.

It is an amenable number.

987163084512 is an abundant number, since it is smaller than the sum of its proper divisors (2255430272400).

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

987163084512 is a wasteful number, since it uses less digits than its factorization.

987163084512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18329721 (or 18329710 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 987163084512 in words is "nine hundred eighty-seven billion, one hundred sixty-three million, eighty-four thousand, five hundred twelve".