9105608348928 has 2016 divisors, whose sum is σ = 35351842862336. Its totient is φ = 2275463135232.

The previous prime is 9105608348927. The next prime is 9105608348957. The reversal of 9105608348928 is 8298438065019.

9105608348928 is a `hidden beast` number, since 9 + 1 + 0 + 56 + 0 + 83 + 489 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9105608348927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 27019609176 + ... + 27019609512.

Almost surely, 2^{9105608348928} 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 9105608348928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17675921431168).

9105608348928 is an abundant number, since it is smaller than the sum of its proper divisors (26246234513408).

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

9105608348928 is a wasteful number, since it uses less digits than its factorization.

9105608348928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 9105608348928 in words is "nine trillion, one hundred five billion, six hundred eight million, three hundred forty-eight thousand, nine hundred twenty-eight".