432813081728097 has 24 divisors (see below), whose sum is σ = 714777789348480. Its totient is φ = 247220441046720.

The previous prime is 432813081728077. The next prime is 432813081728117. The reversal of 432813081728097 is 790827180318234.

432813081728097 is a `hidden beast` number, since 4 + 3 + 2 + 81 + 308 + 172 + 80 + 9 + 7 = 666.

It is an interprime number because it is at equal distance from previous prime (432813081728077) and next prime (432813081728117).

It is not a de Polignac number, because 432813081728097 - 2¹¹ = 432813081726049 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (432813081728077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1407066397 + ... + 1407373962.

It is an arithmetic number, because the mean of its divisors is an integer number (29782407889520).

Almost surely, 2^{432813081728097} is an apocalyptic number.

It is an amenable number.

432813081728097 is a deficient number, since it is larger than the sum of its proper divisors (281964707620383).

432813081728097 is a wasteful number, since it uses less digits than its factorization.

432813081728097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2814442813 (or 2814442810 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 432813081728097 in words is "four hundred thirty-two trillion, eight hundred thirteen billion, eighty-one million, seven hundred twenty-eight thousand, ninety-seven".