9845755752 has 128 divisors (see below), whose sum is σ = 29258127360. Its totient is φ = 2702488320.

The previous prime is 9845755747. The next prime is 9845755769. The reversal of 9845755752 is 2575575489.

9845755752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 9845755692 and 9845755701.

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 31 ways as a sum of consecutive naturals, for example, 429493 + ... + 451835.

It is an arithmetic number, because the mean of its divisors is an integer number (228579120).

Almost surely, 2^9845755752 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 9845755752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14629063680).

9845755752 is an abundant number, since it is smaller than the sum of its proper divisors (19412371608).

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

9845755752 is a wasteful number, since it uses less digits than its factorization.

9845755752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22463 (or 22459 counting only the distinct ones).

The product of its digits is 17640000, while the sum is 57.

The square root of 9845755752 is about 99225.7816900426. The cubic root of 9845755752 is about 2143.3002729995.

The spelling of 9845755752 in words is "nine billion, eight hundred forty-five million, seven hundred fifty-five thousand, seven hundred fifty-two".