14069827248048 has 960 divisors, whose sum is σ = 50140065830400. Its totient is φ = 3617300643840.

The previous prime is 14069827248047. The next prime is 14069827248049. The reversal of 14069827248048 is 84084272896041.

14069827248048 is a `hidden beast` number, since 1 + 4 + 0 + 6 + 9 + 82 + 72 + 480 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (14069827248047) and next prime (14069827248049).

It is not an unprimeable number, because it can be changed into a prime (14069827248047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3242640663 + ... + 3242645001.

It is an arithmetic number, because the mean of its divisors is an integer number (52229235240).

Almost surely, 2^{14069827248048} is an apocalyptic number.

14069827248048 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 14069827248048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25070032915200).

14069827248048 is an abundant number, since it is smaller than the sum of its proper divisors (36070238582352).

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

14069827248048 is a wasteful number, since it uses less digits than its factorization.

14069827248048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4610 (or 4601 counting only the distinct ones).

The product of its (nonzero) digits is 49545216, while the sum is 63.

The spelling of 14069827248048 in words is "fourteen trillion, sixty-nine billion, eight hundred twenty-seven million, two hundred forty-eight thousand, forty-eight".