432544817313 has 160 divisors (see below), whose sum is σ = 784576235520. Its totient is φ = 232253568000.

The previous prime is 432544817267. The next prime is 432544817323. The reversal of 432544817313 is 313718445234.

It is a happy number.

432544817313 is a `hidden beast` number, since 4 + 3 + 25 + 448 + 173 + 13 = 666.

It is not a de Polignac number, because 432544817313 - 2⁶ = 432544817249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (432544817323) 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 159 ways as a sum of consecutive naturals, for example, 165029143 + ... + 165031763.

It is an arithmetic number, because the mean of its divisors is an integer number (4903601472).

Almost surely, 2^432544817313 is an apocalyptic number.

It is an amenable number.

432544817313 is a deficient number, since it is larger than the sum of its proper divisors (352031418207).

432544817313 is a wasteful number, since it uses less digits than its factorization.

432544817313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2941 (or 2932 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The spelling of 432544817313 in words is "four hundred thirty-two billion, five hundred forty-four million, eight hundred seventeen thousand, three hundred thirteen".