9845110080 has 168 divisors, whose sum is σ = 36468067272. Its totient is φ = 2423402496.

The previous prime is 9845110073. The next prime is 9845110087. The reversal of 9845110080 is 800115489.

It is an interprime number because it is at equal distance from previous prime (9845110073) and next prime (9845110087).

It can be written as a sum of positive squares in 4 ways, for example, as 569108736 + 9276001344 = 23856^2 + 96312^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9845110087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94039 + ... + 168918.

It is an arithmetic number, because the mean of its divisors is an integer number (217071829).

Almost surely, 2^9845110080 is an apocalyptic number.

9845110080 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9845110080 is an abundant number, since it is smaller than the sum of its proper divisors (26622957192).

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

9845110080 is a wasteful number, since it uses less digits than its factorization.

9845110080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262993 (or 262980 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 9845110080 is about 99222.5280871234. The cubic root of 9845110080 is about 2143.2534203502.

The spelling of 9845110080 in words is "nine billion, eight hundred forty-five million, one hundred ten thousand, eighty".