14272621554144 has 192 divisors, whose sum is σ = 39028693294080. Its totient is φ = 4561374720000.

The previous prime is 14272621554143. The next prime is 14272621554181. The reversal of 14272621554144 is 44145512627241.

14272621554144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 14272621554093 and 14272621554102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14272621554143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1644117484 + ... + 1644126164.

It is an arithmetic number, because the mean of its divisors is an integer number (203274444240).

Almost surely, 2^{14272621554144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14272621554144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19514346647040).

14272621554144 is an abundant number, since it is smaller than the sum of its proper divisors (24756071739936).

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

14272621554144 is a wasteful number, since it uses less digits than its factorization.

14272621554144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12785 (or 12777 counting only the distinct ones).

The product of its digits is 2150400, while the sum is 48.

The spelling of 14272621554144 in words is "fourteen trillion, two hundred seventy-two billion, six hundred twenty-one million, five hundred fifty-four thousand, one hundred forty-four".