14506561464736 has 48 divisors (see below), whose sum is σ = 31163075461728. Its totient is φ = 6592423264000.

The previous prime is 14506561464691. The next prime is 14506561464737. The reversal of 14506561464736 is 63746416560541.

It is a happy 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 (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3004690 + ... + 6167761.

It is an arithmetic number, because the mean of its divisors is an integer number (649230738786).

Almost surely, 2^{14506561464736} is an apocalyptic number.

14506561464736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

14506561464736 is an abundant number, since it is smaller than the sum of its proper divisors (16656513996992).

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

14506561464736 is a wasteful number, since it uses less digits than its factorization.

14506561464736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9176965 (or 9176957 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 58.

The spelling of 14506561464736 in words is "fourteen trillion, five hundred six billion, five hundred sixty-one million, four hundred sixty-four thousand, seven hundred thirty-six".