14006295648 has 288 divisors, whose sum is σ = 45535089600. Its totient is φ = 4057202688.

The previous prime is 14006295623. The next prime is 14006295649. The reversal of 14006295648 is 84659260041.

14006295648 is a `hidden beast` number, since 14 + 0 + 0 + 629 + 5 + 6 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14006295649) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3263488 + ... + 3267776.

It is an arithmetic number, because the mean of its divisors is an integer number (158107950).

Almost surely, 2^14006295648 is an apocalyptic number.

14006295648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14006295648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22767544800).

14006295648 is an abundant number, since it is smaller than the sum of its proper divisors (31528793952).

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

14006295648 is a wasteful number, since it uses less digits than its factorization.

14006295648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4374 (or 4363 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 14006295648 in words is "fourteen billion, six million, two hundred ninety-five thousand, six hundred forty-eight".