14427166172441 has 64 divisors (see below), whose sum is σ = 16843607472384. Its totient is φ = 12212336640000.

The previous prime is 14427166172431. The next prime is 14427166172473.

14427166172441 is nontrivially palindromic in base 10.

14427166172441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-14427166172441 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 14427166172441.

It is not an unprimeable number, because it can be changed into a prime (14427166172411) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9033916655 + ... + 9033918251.

It is an arithmetic number, because the mean of its divisors is an integer number (263181366756).

Almost surely, 2^{14427166172441} is an apocalyptic number.

14427166172441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14427166172441 is a deficient number, since it is larger than the sum of its proper divisors (2416441299943).

14427166172441 is a wasteful number, since it uses less digits than its factorization.

14427166172441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3050.

The product of its digits is 1806336, while the sum is 50.

The spelling of 14427166172441 in words is "fourteen trillion, four hundred twenty-seven billion, one hundred sixty-six million, one hundred seventy-two thousand, four hundred forty-one".