14641496064 has 512 divisors, whose sum is σ = 49911456000. Its totient is φ = 4204265472.

The previous prime is 14641496057. The next prime is 14641496069. The reversal of 14641496064 is 46069414641.

14641496064 is a `hidden beast` number, since 146 + 414 + 96 + 0 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (512).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14641496069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 218529759 + ... + 218529825.

Almost surely, 2^14641496064 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 14641496064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24955728000).

14641496064 is an abundant number, since it is smaller than the sum of its proper divisors (35269959936).

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

14641496064 is an equidigital number, since it uses as much as digits as its factorization.

14641496064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 14641496064 in words is "fourteen billion, six hundred forty-one million, four hundred ninety-six thousand, sixty-four".