14447854080 has 480 divisors, whose sum is σ = 55191913920. Its totient is φ = 3463741440.

The previous prime is 14447854061. The next prime is 14447854081. The reversal of 14447854080 is 8045874441.

14447854080 is a `hidden beast` number, since 14 + 447 + 85 + 40 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14447854081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27624699 + ... + 27625221.

It is an arithmetic number, because the mean of its divisors is an integer number (114983154).

Almost surely, 2^14447854080 is an apocalyptic number.

14447854080 is a gapful number since it is divisible by the number (10) 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 14447854080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27595956960).

14447854080 is an abundant number, since it is smaller than the sum of its proper divisors (40744059840).

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

14447854080 is a wasteful number, since it uses less digits than its factorization.

14447854080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 45.

The spelling of 14447854080 in words is "fourteen billion, four hundred forty-seven million, eight hundred fifty-four thousand, eighty".