432291785121 has 81 divisors (see below), whose sum is σ = 735030335793. Its totient is φ = 244112515920.

The previous prime is 432291785099. The next prime is 432291785143. The reversal of 432291785121 is 121587192234.

The square root of 432291785121 is 657489.

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

432291785121 is a `hidden beast` number, since 43 + 2 + 2 + 91 + 7 + 8 + 512 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (432291785099) and next prime (432291785143).

It is not a de Polignac number, because 432291785121 - 2²⁵ = 432258230689 is a prime.

It is not an unprimeable number, because it can be changed into a prime (432291781121) 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 80 ways as a sum of consecutive naturals, for example, 1808752120 + ... + 1808752358.

Almost surely, 2^432291785121 is an apocalyptic number.

432291785121 is the 657489-th square number.

432291785121 is the 328745-th centered octagonal number.

It is an amenable number.

432291785121 is a deficient number, since it is larger than the sum of its proper divisors (302738550672).

432291785121 is an equidigital number, since it uses as much as digits as its factorization.

432291785121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760 (or 380 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The spelling of 432291785121 in words is "four hundred thirty-two billion, two hundred ninety-one million, seven hundred eighty-five thousand, one hundred twenty-one".