14431585680 has 60 divisors (see below), whose sum is σ = 48466077660. Its totient is φ = 3848422656.

The previous prime is 14431585633. The next prime is 14431585697. The reversal of 14431585680 is 8658513441.

14431585680 is a `hidden beast` number, since 1 + 4 + 4 + 3 + 1 + 585 + 68 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3704426496 + 10727159184 = 60864^2 + 103572^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10021215 + ... + 10022654.

It is an arithmetic number, because the mean of its divisors is an integer number (807767961).

Almost surely, 2^14431585680 is an apocalyptic number.

14431585680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14431585680 is an abundant number, since it is smaller than the sum of its proper divisors (34034491980).

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

14431585680 is a wasteful number, since it uses less digits than its factorization.

14431585680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20043888 (or 20043879 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 14431585680 in words is "fourteen billion, four hundred thirty-one million, five hundred eighty-five thousand, six hundred eighty".