14240381568 has 192 divisors, whose sum is σ = 46591070400. Its totient is φ = 3829260288.

The previous prime is 14240381563. The next prime is 14240381569. The reversal of 14240381568 is 86518304241.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (14240381563) 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, 297613 + ... + 342131.

It is an arithmetic number, because the mean of its divisors is an integer number (242661825).

Almost surely, 2^14240381568 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 14240381568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23295535200).

14240381568 is an abundant number, since it is smaller than the sum of its proper divisors (32350688832).

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

14240381568 is a wasteful number, since it uses less digits than its factorization.

14240381568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44567 (or 44548 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The spelling of 14240381568 in words is "fourteen billion, two hundred forty million, three hundred eighty-one thousand, five hundred sixty-eight".