431012433011445 has 96 divisors (see below), whose sum is σ = 812610684149472. Its totient is φ = 210453015822336.

The previous prime is 431012433011437. The next prime is 431012433011467. The reversal of 431012433011445 is 544110334210134.

431012433011445 is a `hidden beast` number, since 4 + 3 + 101 + 2 + 433 + 0 + 114 + 4 + 5 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 5311785924 + 431007121225521 = 72882^2 + 20760711^2 .

It is not a de Polignac number, because 431012433011445 - 2³ = 431012433011437 is a prime.

It is a Curzon 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 95 ways as a sum of consecutive naturals, for example, 115142389 + ... + 118826741.

It is an arithmetic number, because the mean of its divisors is an integer number (8464694626557).

Almost surely, 2^{431012433011445} is an apocalyptic number.

431012433011445 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

431012433011445 is a deficient number, since it is larger than the sum of its proper divisors (381598251138027).

431012433011445 is a wasteful number, since it uses less digits than its factorization.

431012433011445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3688551 (or 3688548 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 431012433011445 its reverse (544110334210134), we get a palindrome (975122767221579).

The spelling of 431012433011445 in words is "four hundred thirty-one trillion, twelve billion, four hundred thirty-three million, eleven thousand, four hundred forty-five".