14415449472 has 320 divisors, whose sum is σ = 45741920400. Its totient is φ = 4506513408.

The previous prime is 14415449453. The next prime is 14415449501. The reversal of 14415449472 is 27494451441.

14415449472 is a `hidden beast` number, since 1 + 4 + 4 + 154 + 494 + 7 + 2 = 666.

Its product of digits (645120) is a multiple of the sum of its prime factors (360).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 50937843 + ... + 50938125.

Almost surely, 2^14415449472 is an apocalyptic number.

14415449472 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 14415449472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22870960200).

14415449472 is an abundant number, since it is smaller than the sum of its proper divisors (31326470928).

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

14415449472 is an frugal number, since it uses more digits than its factorization.

14415449472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 305 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The spelling of 14415449472 in words is "fourteen billion, four hundred fifteen million, four hundred forty-nine thousand, four hundred seventy-two".