431717714016 has 96 divisors (see below), whose sum is σ = 1252091893248. Its totient is φ = 129552107520.

The previous prime is 431717714011. The next prime is 431717714017. The reversal of 431717714016 is 610417717134.

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

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431717714011) 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, 5713180 + ... + 5788251.

It is an arithmetic number, because the mean of its divisors is an integer number (13042623888).

Almost surely, 2^431717714016 is an apocalyptic number.

431717714016 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

431717714016 is an abundant number, since it is smaller than the sum of its proper divisors (820374179232).

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

431717714016 is a wasteful number, since it uses less digits than its factorization.

431717714016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11501484 (or 11501476 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 42.

The spelling of 431717714016 in words is "four hundred thirty-one billion, seven hundred seventeen million, seven hundred fourteen thousand, sixteen".