14431540200345 has 96 divisors (see below), whose sum is σ = 25450803755520. Its totient is φ = 7563582074880.

The previous prime is 14431540200269. The next prime is 14431540200359. The reversal of 14431540200345 is 54300204513441.

14431540200345 is a `hidden beast` number, since 1 + 44 + 31 + 5 + 40 + 200 + 345 = 666.

It is not a de Polignac number, because 14431540200345 - 2⁹ = 14431540199833 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2010800397 + ... + 2010807573.

It is an arithmetic number, because the mean of its divisors is an integer number (265112539120).

Almost surely, 2^{14431540200345} is an apocalyptic number.

14431540200345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14431540200345 is a deficient number, since it is larger than the sum of its proper divisors (11019263555175).

14431540200345 is a wasteful number, since it uses less digits than its factorization.

14431540200345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9855 (or 9852 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 14431540200345 its reverse (54300204513441), we get a palindrome (68731744713786).

The spelling of 14431540200345 in words is "fourteen trillion, four hundred thirty-one billion, five hundred forty million, two hundred thousand, three hundred forty-five".