9984358512 has 160 divisors (see below), whose sum is σ = 30601612800. Its totient is φ = 3109252608.

The previous prime is 9984358453. The next prime is 9984358513. The reversal of 9984358512 is 2158534899.

9984358512 is a `hidden beast` number, since 9 + 9 + 8 + 43 + 585 + 12 = 666.

It is a super-2 number, since 2×9984358512² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9984358513) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 415564 + ... + 438932.

It is an arithmetic number, because the mean of its divisors is an integer number (191260080).

Almost surely, 2^9984358512 is an apocalyptic number.

9984358512 is a gapful number since it is divisible by the number (92) 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 9984358512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15300806400).

9984358512 is an abundant number, since it is smaller than the sum of its proper divisors (20617254288).

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

9984358512 is a wasteful number, since it uses less digits than its factorization.

9984358512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23452 (or 23440 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 54.

The square root of 9984358512 is about 99921.7619540408. The cubic root of 9984358512 is about 2153.3108183822.

The spelling of 9984358512 in words is "nine billion, nine hundred eighty-four million, three hundred fifty-eight thousand, five hundred twelve".