431641063200605 has 48 divisors (see below), whose sum is σ = 529632062468544. Its totient is φ = 337703515269120.

The previous prime is 431641063200593. The next prime is 431641063200617. The reversal of 431641063200605 is 506002360146134.

It is an interprime number because it is at equal distance from previous prime (431641063200593) and next prime (431641063200617).

It is not a de Polignac number, because 431641063200605 - 2³⁰ = 431639989458781 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 40617390302 + ... + 40617400928.

It is an arithmetic number, because the mean of its divisors is an integer number (11034001301428).

Almost surely, 2^{431641063200605} is an apocalyptic number.

It is an amenable number.

431641063200605 is a deficient number, since it is larger than the sum of its proper divisors (97990999267939).

431641063200605 is a wasteful number, since it uses less digits than its factorization.

431641063200605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19806 (or 19753 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 41.

The spelling of 431641063200605 in words is "four hundred thirty-one trillion, six hundred forty-one billion, sixty-three million, two hundred thousand, six hundred five".