431132252331024 has 60 divisors (see below), whose sum is σ = 1207215704431516. Its totient is φ = 143634023110656.

The previous prime is 431132252330959. The next prime is 431132252331041. The reversal of 431132252331024 is 420133252231134.

431132252331024 is a `hidden beast` number, since 4 + 3 + 1 + 1 + 3 + 22 + 523 + 3 + 102 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 249562017291024 + 181570235040000 = 15797532^2 + 13474800^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 431132252331024.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 798975877 + ... + 799515300.

Almost surely, 2^{431132252331024} is an apocalyptic number.

It is an amenable number.

431132252331024 is an abundant number, since it is smaller than the sum of its proper divisors (776083452100492).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

431132252331024 is a wasteful number, since it uses less digits than its factorization.

431132252331024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1598493064 (or 1598493055 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 431132252331024 in words is "four hundred thirty-one trillion, one hundred thirty-two billion, two hundred fifty-two million, three hundred thirty-one thousand, twenty-four".