9845114880 has 384 divisors, whose sum is σ = 33470236800. Its totient is φ = 2466250752.

The previous prime is 9845114849. The next prime is 9845114899. The reversal of 9845114880 is 884115489.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38307712 + ... + 38307968.

It is an arithmetic number, because the mean of its divisors is an integer number (87162075).

Almost surely, 2^9845114880 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 9845114880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16735118400).

9845114880 is an abundant number, since it is smaller than the sum of its proper divisors (23625121920).

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

9845114880 is a wasteful number, since it uses less digits than its factorization.

9845114880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 48.

The square root of 9845114880 is about 99222.5522751758. The cubic root of 9845114880 is about 2143.2537686657.

The spelling of 9845114880 in words is "nine billion, eight hundred forty-five million, one hundred fourteen thousand, eight hundred eighty".