9848753228160 has 1536 divisors, whose sum is σ = 45462503232000. Its totient is φ = 1991113850880.

The previous prime is 9848753228143. The next prime is 9848753228177. The reversal of 9848753228160 is 618223578489.

9848753228160 is a `hidden beast` number, since 9 + 8 + 4 + 87 + 532 + 2 + 8 + 16 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (9848753228143) and next prime (9848753228177).

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

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 191 ways as a sum of consecutive naturals, for example, 344600751 + ... + 344629329.

It is an arithmetic number, because the mean of its divisors is an integer number (29597983875).

It is a 1-persistent number, because it is pandigital, but 2⋅9848753228160 = 19697506456320 is not.

Almost surely, 2^{9848753228160} is an apocalyptic number.

9848753228160 is a gapful number since it is divisible by the number (90) 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 9848753228160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22731251616000).

9848753228160 is an abundant number, since it is smaller than the sum of its proper divisors (35613750003840).

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

9848753228160 is a wasteful number, since it uses less digits than its factorization.

9848753228160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28669 (or 28644 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 9848753228160 in words is "nine trillion, eight hundred forty-eight billion, seven hundred fifty-three million, two hundred twenty-eight thousand, one hundred sixty".