14408103426048 has 384 divisors, whose sum is σ = 43869172838400. Its totient is φ = 4669126115328.

The previous prime is 14408103425953. The next prime is 14408103426049. The reversal of 14408103426048 is 84062430180441.

14408103426048 is a `hidden beast` number, since 1 + 4 + 4 + 0 + 8 + 1 + 0 + 34 + 2 + 604 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×14408103426048² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14408103425994 and 14408103426012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14408103426049) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3729768565 + ... + 3729772427.

It is an arithmetic number, because the mean of its divisors is an integer number (114242637600).

Almost surely, 2^{14408103426048} is an apocalyptic number.

14408103426048 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 14408103426048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21934586419200).

14408103426048 is an abundant number, since it is smaller than the sum of its proper divisors (29461069412352).

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

14408103426048 is a wasteful number, since it uses less digits than its factorization.

14408103426048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5754 (or 5728 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 14408103426048 in words is "fourteen trillion, four hundred eight billion, one hundred three million, four hundred twenty-six thousand, forty-eight".