431216017116576 has 96 divisors (see below), whose sum is σ = 1133349390085248. Its totient is φ = 143559995673600.

The previous prime is 431216017116571. The next prime is 431216017116601. The reversal of 431216017116576 is 675611710612134.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (431216017116571) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 833326341 + ... + 833843643.

It is an arithmetic number, because the mean of its divisors is an integer number (11805722813388).

Almost surely, 2^{431216017116576} is an apocalyptic number.

It is an amenable number.

431216017116576 is an abundant number, since it is smaller than the sum of its proper divisors (702133372968672).

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

431216017116576 is a wasteful number, since it uses less digits than its factorization.

431216017116576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528094 (or 528086 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 51.

The spelling of 431216017116576 in words is "four hundred thirty-one trillion, two hundred sixteen billion, seventeen million, one hundred sixteen thousand, five hundred seventy-six".