432134002161 has 63 divisors (see below), whose sum is σ = 657271474203. Its totient is φ = 283983408000.

The previous prime is 432134002129. The next prime is 432134002189. The reversal of 432134002161 is 161200431234.

It is a happy number.

The square root of 432134002161 is 657369.

It is a perfect power (a square), and thus also a powerful number.

432134002161 is a `hidden beast` number, since 4 + 32 + 13 + 400 + 216 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 194044655025 + 238089347136 = 440505^2 + 487944^2 .

It is not a de Polignac number, because 432134002161 - 2⁵ = 432134002129 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (432134002121) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 1721649286 + ... + 1721649536.

Almost surely, 2^432134002161 is an apocalyptic number.

432134002161 is the 657369-th square number.

432134002161 is the 328685-th centered octagonal number.

It is an amenable number.

432134002161 is a deficient number, since it is larger than the sum of its proper divisors (225137472042).

432134002161 is an frugal number, since it uses more digits than its factorization.

432134002161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 432134002161 its reverse (161200431234), we get a palindrome (593334433395).

The spelling of 432134002161 in words is "four hundred thirty-two billion, one hundred thirty-four million, two thousand, one hundred sixty-one".