14456108576 has 216 divisors, whose sum is σ = 37970300340. Its totient is φ = 5380816896.

The previous prime is 14456108567. The next prime is 14456108621. The reversal of 14456108576 is 67580165441.

14456108576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 4267224976 + 10188883600 = 65324^2 + 100940^2 .

It is a super-2 number, since 2×14456108576² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14456108576.

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 35 ways as a sum of consecutive naturals, for example, 4503260 + ... + 4506468.

Almost surely, 2^14456108576 is an apocalyptic number.

14456108576 is a gapful number since it is divisible by the number (16) 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 14456108576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18985150170).

14456108576 is an abundant number, since it is smaller than the sum of its proper divisors (23514191764).

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

14456108576 is a wasteful number, since it uses less digits than its factorization.

14456108576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3276 (or 3248 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 47.

The spelling of 14456108576 in words is "fourteen billion, four hundred fifty-six million, one hundred eight thousand, five hundred seventy-six".