9984532187916 has 288 divisors, whose sum is σ = 30261252490560. Its totient is φ = 2735576064000.

The previous prime is 9984532187893. The next prime is 9984532187947. The reversal of 9984532187916 is 6197812354899.

9984532187916 is a `hidden beast` number, since 9 + 9 + 8 + 4 + 532 + 1 + 8 + 79 + 16 = 666.

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, 163948800 + ... + 164009688.

It is an arithmetic number, because the mean of its divisors is an integer number (105073793370).

Almost surely, 2^{9984532187916} 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 9984532187916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15130626245280).

9984532187916 is an abundant number, since it is smaller than the sum of its proper divisors (20276720302644).

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

9984532187916 is a wasteful number, since it uses less digits than its factorization.

9984532187916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61577 (or 61572 counting only the distinct ones).

The product of its digits is 235146240, while the sum is 72.

The spelling of 9984532187916 in words is "nine trillion, nine hundred eighty-four billion, five hundred thirty-two million, one hundred eighty-seven thousand, nine hundred sixteen".