382475345121 has 20 divisors (see below), whose sum is σ = 604961005572. Its totient is φ = 239984529408.

The previous prime is 382475345047. The next prime is 382475345179. The reversal of 382475345121 is 121543574283.

382475345121 is a `hidden beast` number, since 3 + 8 + 2 + 47 + 534 + 51 + 21 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 322970573025 + 59504772096 = 568305^2 + 243936^2 .

It is not a de Polignac number, because 382475345121 - 2⁹ = 382475344609 is a prime.

It is not an unprimeable number, because it can be changed into a prime (382475345621) 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 19 ways as a sum of consecutive naturals, for example, 138878560 + ... + 138881313.

Almost surely, 2^382475345121 is an apocalyptic number.

It is an amenable number.

382475345121 is a deficient number, since it is larger than the sum of its proper divisors (222485660451).

382475345121 is a wasteful number, since it uses less digits than its factorization.

382475345121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277759902 (or 277759893 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The spelling of 382475345121 in words is "three hundred eighty-two billion, four hundred seventy-five million, three hundred forty-five thousand, one hundred twenty-one".