13914975080448 has 1456 divisors, whose sum is σ = 47648753349120. Its totient is φ = 4030552866816.

The previous prime is 13914975080429. The next prime is 13914975080473. The reversal of 13914975080448 is 84408057941931.

13914975080448 is a `hidden beast` number, since 1 + 3 + 9 + 1 + 49 + 75 + 0 + 80 + 448 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 52908650365 + ... + 52908650627.

Almost surely, 2^{13914975080448} is an apocalyptic number.

13914975080448 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 13914975080448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23824376674560).

13914975080448 is an abundant number, since it is smaller than the sum of its proper divisors (33733778268672).

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

13914975080448 is an equidigital number, since it uses as much as digits as its factorization.

13914975080448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 13914975080448 in words is "thirteen trillion, nine hundred fourteen billion, nine hundred seventy-five million, eighty thousand, four hundred forty-eight".