14480540064 has 144 divisors (see below), whose sum is σ = 42303348360. Its totient is φ = 4695736320.

The previous prime is 14480540057. The next prime is 14480540069. The reversal of 14480540064 is 46004508441.

It is a happy number.

14480540064 is a `hidden beast` number, since 14 + 48 + 0 + 540 + 0 + 64 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12873171600 + 1607368464 = 113460^2 + 40092^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (14480540069) 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, 4686232 + ... + 4689320.

Almost surely, 2^14480540064 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 14480540064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21151674180).

14480540064 is an abundant number, since it is smaller than the sum of its proper divisors (27822808296).

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

14480540064 is a wasteful number, since it uses less digits than its factorization.

14480540064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3543 (or 3532 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 14480540064 in words is "fourteen billion, four hundred eighty million, five hundred forty thousand, sixty-four".