9675135982848 has 180 divisors, whose sum is σ = 30039851446528. Its totient is φ = 2764324039680.

The previous prime is 9675135982843. The next prime is 9675135982861. The reversal of 9675135982848 is 8482895315769.

It is a super-2 number, since 2×9675135982848² (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (75) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 9675135982848.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9675135982843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 779488 + ... + 4467423.

Almost surely, 2^{9675135982848} is an apocalyptic number.

9675135982848 is a gapful number since it is divisible by the number (98) 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 9675135982848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15019925723264).

9675135982848 is an abundant number, since it is smaller than the sum of its proper divisors (20364715463680).

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

9675135982848 is an frugal number, since it uses more digits than its factorization.

9675135982848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5246958 (or 5246923 counting only the distinct ones).

The product of its digits is 1045094400, while the sum is 75.

The spelling of 9675135982848 in words is "nine trillion, six hundred seventy-five billion, one hundred thirty-five million, nine hundred eighty-two thousand, eight hundred forty-eight".