984766448961 has 112 divisors (see below), whose sum is σ = 1525409424720. Its totient is φ = 635156121600.

The previous prime is 984766448951. The next prime is 984766448969. The reversal of 984766448961 is 169844667489.

It is a happy number.

984766448961 is a `hidden beast` number, since 9 + 8 + 476 + 64 + 4 + 8 + 96 + 1 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 112036808961 + 872729640000 = 334719^2 + 934200^2 .

It is not a de Polignac number, because 984766448961 - 2¹³ = 984766440769 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 984766448961.

It is not an unprimeable number, because it can be changed into a prime (984766448969) 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 111 ways as a sum of consecutive naturals, for example, 1596055525 + ... + 1596056141.

Almost surely, 2^984766448961 is an apocalyptic number.

It is an amenable number.

984766448961 is a deficient number, since it is larger than the sum of its proper divisors (540642975759).

984766448961 is a wasteful number, since it uses less digits than its factorization.

984766448961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198 (or 1183 counting only the distinct ones).

The product of its digits is 501645312, while the sum is 72.

The spelling of 984766448961 in words is "nine hundred eighty-four billion, seven hundred sixty-six million, four hundred forty-eight thousand, nine hundred sixty-one".