9963548461152 has 576 divisors, whose sum is σ = 34814318676480. Its totient is φ = 2753396997120.

The previous prime is 9963548461123. The next prime is 9963548461169. The reversal of 9963548461152 is 2511648453699.

9963548461152 is a `hidden beast` number, since 9 + 9 + 6 + 3 + 5 + 4 + 8 + 4 + 611 + 5 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 9963548461152.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 112758813 + ... + 112847139.

It is an arithmetic number, because the mean of its divisors is an integer number (60441525480).

Almost surely, 2^{9963548461152} 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 9963548461152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17407159338240).

9963548461152 is an abundant number, since it is smaller than the sum of its proper divisors (24850770215328).

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

9963548461152 is a wasteful number, since it uses less digits than its factorization.

9963548461152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88464 (or 88439 counting only the distinct ones).

The product of its digits is 55987200, while the sum is 63.

The spelling of 9963548461152 in words is "nine trillion, nine hundred sixty-three billion, five hundred forty-eight million, four hundred sixty-one thousand, one hundred fifty-two".