9845044611840 has 864 divisors, whose sum is σ = 36612506548800. Its totient is φ = 2529964523520.

The previous prime is 9845044611827. The next prime is 9845044611841. The reversal of 9845044611840 is 481164405489.

9845044611840 is a `hidden beast` number, since 9 + 8 + 4 + 504 + 46 + 11 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (9845044611841) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 9209582826 + ... + 9209583894.

Almost surely, 2^{9845044611840} is an apocalyptic number.

9845044611840 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 9845044611840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18306253274400).

9845044611840 is an abundant number, since it is smaller than the sum of its proper divisors (26767461936960).

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

9845044611840 is a wasteful number, since it uses less digits than its factorization.

9845044611840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2155 (or 2129 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 9845044611840 in words is "nine trillion, eight hundred forty-five billion, forty-four million, six hundred eleven thousand, eight hundred forty".