973434668841 has 64 divisors (see below), whose sum is σ = 1547008588800. Its totient is φ = 610308069120.

The previous prime is 973434668839. The next prime is 973434668929. The reversal of 973434668841 is 148866434379.

It is a happy number.

973434668841 is a `hidden beast` number, since 97 + 3 + 4 + 3 + 466 + 8 + 84 + 1 = 666.

It is not a de Polignac number, because 973434668841 - 2¹ = 973434668839 is a prime.

It is not an unprimeable number, because it can be changed into a prime (973434668641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51334720 + ... + 51353678.

It is an arithmetic number, because the mean of its divisors is an integer number (24172009200).

Almost surely, 2^973434668841 is an apocalyptic number.

It is an amenable number.

973434668841 is a deficient number, since it is larger than the sum of its proper divisors (573573919959).

973434668841 is a wasteful number, since it uses less digits than its factorization.

973434668841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20378 (or 20360 counting only the distinct ones).

The product of its digits is 83607552, while the sum is 63.

The spelling of 973434668841 in words is "nine hundred seventy-three billion, four hundred thirty-four million, six hundred sixty-eight thousand, eight hundred forty-one".