948329384128 has 56 divisors (see below), whose sum is σ = 2187127756800. Its totient is φ = 399538276608.

The previous prime is 948329384117. The next prime is 948329384161. The reversal of 948329384128 is 821483923849.

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 17912608 + ... + 17965471.

It is an arithmetic number, because the mean of its divisors is an integer number (39055852800).

Almost surely, 2^948329384128 is an apocalyptic number.

It is an amenable number.

948329384128 is an abundant number, since it is smaller than the sum of its proper divisors (1238798372672).

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

948329384128 is a wasteful number, since it uses less digits than its factorization.

948329384128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35878157 (or 35878147 counting only the distinct ones).

The product of its digits is 23887872, while the sum is 61.

The spelling of 948329384128 in words is "nine hundred forty-eight billion, three hundred twenty-nine million, three hundred eighty-four thousand, one hundred twenty-eight".