14506561464735 has 32 divisors (see below), whose sum is σ = 23338003046400. Its totient is φ = 7694351993600.

The previous prime is 14506561464691. The next prime is 14506561464737. The reversal of 14506561464735 is 53746416560541.

It is a happy number.

It is not a de Polignac number, because 14506561464735 - 2¹⁰ = 14506561463711 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14506561464737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10557691 + ... + 11852339.

It is an arithmetic number, because the mean of its divisors is an integer number (729312595200).

Almost surely, 2^{14506561464735} is an apocalyptic number.

14506561464735 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

14506561464735 is a deficient number, since it is larger than the sum of its proper divisors (8831441581665).

14506561464735 is a wasteful number, since it uses less digits than its factorization.

14506561464735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1298759.

The product of its (nonzero) digits is 36288000, while the sum is 57.

The spelling of 14506561464735 in words is "fourteen trillion, five hundred six billion, five hundred sixty-one million, four hundred sixty-four thousand, seven hundred thirty-five".