14065052047488 has 768 divisors, whose sum is σ = 45536820725760. Its totient is φ = 4138573824000.

The previous prime is 14065052047457. The next prime is 14065052047517. The reversal of 14065052047488 is 88474025056041.

14065052047488 is a `hidden beast` number, since 1 + 40 + 6 + 5 + 0 + 52 + 0 + 474 + 88 = 666.

It is a super-2 number, since 2×14065052047488² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18728431113 + ... + 18728431863.

It is an arithmetic number, because the mean of its divisors is an integer number (59292735320).

Almost surely, 2^{14065052047488} is an apocalyptic number.

14065052047488 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 14065052047488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22768410362880).

14065052047488 is an abundant number, since it is smaller than the sum of its proper divisors (31471768678272).

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

14065052047488 is a wasteful number, since it uses less digits than its factorization.

14065052047488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1357 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 8601600, while the sum is 54.

The spelling of 14065052047488 in words is "fourteen trillion, sixty-five billion, fifty-two million, forty-seven thousand, four hundred eighty-eight".