9845112007800 has 144 divisors (see below), whose sum is σ = 33064428045480. Its totient is φ = 2625263136000.

The previous prime is 9845112007781. The next prime is 9845112007807. The reversal of 9845112007800 is 87002115489.

9845112007800 is a `hidden beast` number, since 9 + 8 + 451 + 120 + 0 + 78 + 0 + 0 = 666.

It is a super-2 number, since 2×9845112007800² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9845112007807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 55316955 + ... + 55494645.

Almost surely, 2^{9845112007800} is an apocalyptic number.

9845112007800 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9845112007800 is an abundant number, since it is smaller than the sum of its proper divisors (23219316037680).

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

9845112007800 is a wasteful number, since it uses less digits than its factorization.

9845112007800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208494 (or 208482 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 9845112007800 in words is "nine trillion, eight hundred forty-five billion, one hundred twelve million, seven thousand, eight hundred".