14181356448 has 384 divisors, whose sum is σ = 49029120000. Its totient is φ = 3903427584.

The previous prime is 14181356359. The next prime is 14181356471. The reversal of 14181356448 is 84465318141.

14181356448 is a `hidden beast` number, since 1 + 4 + 1 + 81 + 3 + 564 + 4 + 8 = 666.

It is a super-2 number, since 2×14181356448² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28419303 + ... + 28419801.

It is an arithmetic number, because the mean of its divisors is an integer number (127680000).

Almost surely, 2^14181356448 is an apocalyptic number.

14181356448 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 14181356448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24514560000).

14181356448 is an abundant number, since it is smaller than the sum of its proper divisors (34847763552).

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

14181356448 is a wasteful number, since it uses less digits than its factorization.

14181356448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 675 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The spelling of 14181356448 in words is "fourteen billion, one hundred eighty-one million, three hundred fifty-six thousand, four hundred forty-eight".