14704427664 has 120 divisors (see below), whose sum is σ = 42723932160. Its totient is φ = 4895987328.

The previous prime is 14704427663. The next prime is 14704427681. The reversal of 14704427664 is 46672440741.

It is a happy number.

14704427664 is a `hidden beast` number, since 14 + 70 + 442 + 76 + 64 = 666.

It is not an unprimeable number, because it can be changed into a prime (14704427663) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4971274 + ... + 4974230.

It is an arithmetic number, because the mean of its divisors is an integer number (356032768).

Almost surely, 2^14704427664 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 14704427664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21361966080).

14704427664 is an abundant number, since it is smaller than the sum of its proper divisors (28019504496).

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

14704427664 is a wasteful number, since it uses less digits than its factorization.

14704427664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4259 (or 4241 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 14704427664 in words is "fourteen billion, seven hundred four million, four hundred twenty-seven thousand, six hundred sixty-four".