14641265664 has 132 divisors (see below), whose sum is σ = 44115077136. Its totient is φ = 4668162048.

The previous prime is 14641265663. The next prime is 14641265669. The reversal of 14641265664 is 46656214641.

14641265664 is a `hidden beast` number, since 1 + 4 + 64 + 1 + 26 + 566 + 4 = 666.

14641265664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14641265663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 177432 + ... + 246504.

Almost surely, 2^14641265664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14641265664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22057538568).

14641265664 is an abundant number, since it is smaller than the sum of its proper divisors (29473811472).

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

14641265664 is a wasteful number, since it uses less digits than its factorization.

14641265664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69122 (or 69101 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The spelling of 14641265664 in words is "fourteen billion, six hundred forty-one million, two hundred sixty-five thousand, six hundred sixty-four".