431166306606660 has 36 divisors (see below), whose sum is σ = 1307871130040748. Its totient is φ = 114977681761728.

The previous prime is 431166306606649. The next prime is 431166306606661. The reversal of 431166306606660 is 66606603661134.

It can be written as a sum of positive squares in 2 ways, for example, as 342324522056196 + 88841784550464 = 18502014^2 + 9425592^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 431166306606597 and 431166306606606.

It is not an unprimeable number, because it can be changed into a prime (431166306606661) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1197684184839 + ... + 1197684185198.

It is an arithmetic number, because the mean of its divisors is an integer number (36329753612243).

Almost surely, 2^{431166306606660} is an apocalyptic number.

It is an amenable number.

431166306606660 is an abundant number, since it is smaller than the sum of its proper divisors (876704823434088).

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

431166306606660 is a wasteful number, since it uses less digits than its factorization.

431166306606660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2395368370052 (or 2395368370047 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 54.

The spelling of 431166306606660 in words is "four hundred thirty-one trillion, one hundred sixty-six billion, three hundred six million, six hundred six thousand, six hundred sixty".