14431455072 has 144 divisors (see below), whose sum is σ = 42834132432. Its totient is φ = 4779440640.

The previous prime is 14431455053. The next prime is 14431455089. The reversal of 14431455072 is 27055413441.

14431455072 is a `hidden beast` number, since 1 + 4 + 4 + 3 + 145 + 507 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1214922 + ... + 1226742.

It is an arithmetic number, because the mean of its divisors is an integer number (297459253).

Almost surely, 2^14431455072 is an apocalyptic number.

14431455072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14431455072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21417066216).

14431455072 is an abundant number, since it is smaller than the sum of its proper divisors (28402677360).

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

14431455072 is a wasteful number, since it uses less digits than its factorization.

14431455072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12003 (or 11983 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 14431455072 in words is "fourteen billion, four hundred thirty-one million, four hundred fifty-five thousand, seventy-two".