9913788896544 has 1728 divisors, whose sum is σ = 35227954944000. Its totient is φ = 2621096755200.

The previous prime is 9913788896521. The next prime is 9913788896569. The reversal of 9913788896544 is 4456988873199.

It is a super-2 number, since 2×9913788896544² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 49818034557 + ... + 49818034755.

It is an arithmetic number, because the mean of its divisors is an integer number (20386548000).

Almost surely, 2^{9913788896544} 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 9913788896544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17613977472000).

9913788896544 is an abundant number, since it is smaller than the sum of its proper divisors (25314166047456).

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

9913788896544 is a wasteful number, since it uses less digits than its factorization.

9913788896544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 337 counting only the distinct ones).

The product of its digits is 3762339840, while the sum is 81.

The spelling of 9913788896544 in words is "nine trillion, nine hundred thirteen billion, seven hundred eighty-eight million, eight hundred ninety-six thousand, five hundred forty-four".