14506656241 has 36 divisors (see below), whose sum is σ = 18674277300. Its totient is φ = 11227339200.

The previous prime is 14506656239. The next prime is 14506656251. The reversal of 14506656241 is 14265660541.

It can be written as a sum of positive squares in 2 ways, for example, as 718025616 + 13788630625 = 26796^2 + 117425^2 .

It is not a de Polignac number, because 14506656241 - 2¹ = 14506656239 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 14506656194 and 14506656203.

It is not an unprimeable number, because it can be changed into a prime (14506656251) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 875211 + ... + 891631.

It is an arithmetic number, because the mean of its divisors is an integer number (518729925).

Almost surely, 2^14506656241 is an apocalyptic number.

14506656241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14506656241 is a deficient number, since it is larger than the sum of its proper divisors (4167621059).

14506656241 is a wasteful number, since it uses less digits than its factorization.

14506656241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16606 (or 16588 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 40.

The spelling of 14506656241 in words is "fourteen billion, five hundred six million, six hundred fifty-six thousand, two hundred forty-one".