14475433457441 has 64 divisors (see below), whose sum is σ = 16542739537920. Its totient is φ = 12552358560000.

The previous prime is 14475433457431. The next prime is 14475433457473.

14475433457441 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-14475433457441 is a prime.

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (14475433457431) 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, 2628548810 + ... + 2628554316.

It is an arithmetic number, because the mean of its divisors is an integer number (258480305280).

Almost surely, 2^{14475433457441} is an apocalyptic number.

14475433457441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14475433457441 is a deficient number, since it is larger than the sum of its proper divisors (2067306080479).

14475433457441 is a wasteful number, since it uses less digits than its factorization.

14475433457441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6446.

The product of its digits is 45158400, while the sum is 56.

The spelling of 14475433457441 in words is "fourteen trillion, four hundred seventy-five billion, four hundred thirty-three million, four hundred fifty-seven thousand, four hundred forty-one".