14444479872 has 384 divisors, whose sum is σ = 45854565120. Its totient is φ = 4516300800.

The previous prime is 14444479823. The next prime is 14444479897. The reversal of 14444479872 is 27897444441.

14444479872 is a `hidden beast` number, since 1 + 4 + 44 + 447 + 98 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×14444479872² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43638747 + ... + 43639077.

It is an arithmetic number, because the mean of its divisors is an integer number (119412930).

Almost surely, 2^14444479872 is an apocalyptic number.

14444479872 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 14444479872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22927282560).

14444479872 is an abundant number, since it is smaller than the sum of its proper divisors (31410085248).

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

14444479872 is an equidigital number, since it uses as much as digits as its factorization.

14444479872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 420 counting only the distinct ones).

The product of its digits is 7225344, while the sum is 54.

The spelling of 14444479872 in words is "fourteen billion, four hundred forty-four million, four hundred seventy-nine thousand, eight hundred seventy-two".