9881616384 has 384 divisors, whose sum is σ = 31774513680. Its totient is φ = 3057647616.

The previous prime is 9881616383. The next prime is 9881616403. The reversal of 9881616384 is 4836161889.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×9881616384³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 9881616384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9881616383) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135364572 + ... + 135364644.

Almost surely, 2^9881616384 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 9881616384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15887256840).

9881616384 is an abundant number, since it is smaller than the sum of its proper divisors (21892897296).

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

9881616384 is an frugal number, since it uses more digits than its factorization.

9881616384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 95 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 54.

The square root of 9881616384 is about 99406.3196381397. The cubic root of 9881616384 is about 2145.8992600917.

The spelling of 9881616384 in words is "nine billion, eight hundred eighty-one million, six hundred sixteen thousand, three hundred eighty-four".