14426116848 has 540 divisors, whose sum is σ = 50893164504. Its totient is φ = 3905107200.

The previous prime is 14426116841. The next prime is 14426116877. The reversal of 14426116848 is 84861162441.

14426116848 is a `hidden beast` number, since 1 + 442 + 6 + 1 + 168 + 48 = 666.

It is a super-2 number, since 2×14426116848² (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14426116841) 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 107 ways as a sum of consecutive naturals, for example, 465358593 + ... + 465358623.

Almost surely, 2^14426116848 is an apocalyptic number.

14426116848 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 14426116848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25446582252).

14426116848 is an abundant number, since it is smaller than the sum of its proper divisors (36467047656).

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

14426116848 is an equidigital number, since it uses as much as digits as its factorization.

14426116848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 60 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The spelling of 14426116848 in words is "fourteen billion, four hundred twenty-six million, one hundred sixteen thousand, eight hundred forty-eight".