14442147072 has 216 divisors, whose sum is σ = 44581438720. Its totient is φ = 4658135040.

The previous prime is 14442147061. The next prime is 14442147127. The reversal of 14442147072 is 27074124441.

14442147072 is a `hidden beast` number, since 1 + 4 + 442 + 147 + 0 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×14442147072² (a number of 21 digits) contains 22 as substring.

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, 1924704 + ... + 1932192.

Almost surely, 2^14442147072 is an apocalyptic number.

14442147072 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 14442147072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22290719360).

14442147072 is an abundant number, since it is smaller than the sum of its proper divisors (30139291648).

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

14442147072 is an frugal number, since it uses more digits than its factorization.

14442147072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7551 (or 7525 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The spelling of 14442147072 in words is "fourteen billion, four hundred forty-two million, one hundred forty-seven thousand, seventy-two".