9818752978944 has 1872 divisors, whose sum is σ = 38136077179200. Its totient is φ = 2405222055936.

The previous prime is 9818752978943. The next prime is 9818752978949. The reversal of 9818752978944 is 4498792578189.

9818752978944 is a `hidden beast` number, since 9 + 8 + 1 + 8 + 7 + 529 + 7 + 89 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1872).

It is not an unprimeable number, because it can be changed into a prime (9818752978943) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 26323734342 + ... + 26323734714.

It is an arithmetic number, because the mean of its divisors is an integer number (20371836100).

Almost surely, 2^{9818752978944} 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 9818752978944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19068038589600).

9818752978944 is an abundant number, since it is smaller than the sum of its proper divisors (28317324200256).

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

9818752978944 is a wasteful number, since it uses less digits than its factorization.

9818752978944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 476 counting only the distinct ones).

The product of its digits is 2926264320, while the sum is 81.

The spelling of 9818752978944 in words is "nine trillion, eight hundred eighteen billion, seven hundred fifty-two million, nine hundred seventy-eight thousand, nine hundred forty-four".