14457891080448 has 144 divisors (see below), whose sum is σ = 42759407308800. Its totient is φ = 4818746972160.

The previous prime is 14457891080377. The next prime is 14457891080459. The reversal of 14457891080448 is 84408019875441.

14457891080448 is a `hidden beast` number, since 1 + 4 + 4 + 5 + 7 + 89 + 108 + 0 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×14457891080448² (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 15 ways as a sum of consecutive naturals, for example, 62846593 + ... + 63076223.

Almost surely, 2^{14457891080448} is an apocalyptic number.

14457891080448 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 14457891080448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21379703654400).

14457891080448 is an abundant number, since it is smaller than the sum of its proper divisors (28301516228352).

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

14457891080448 is an equidigital number, since it uses as much as digits as its factorization.

14457891080448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238765 (or 238745 counting only the distinct ones).

The product of its (nonzero) digits is 41287680, while the sum is 63.

The spelling of 14457891080448 in words is "fourteen trillion, four hundred fifty-seven billion, eight hundred ninety-one million, eighty thousand, four hundred forty-eight".