14126147600 has 60 divisors (see below), whose sum is σ = 33972291780. Its totient is φ = 5644761600.

The previous prime is 14126147599. The next prime is 14126147617. The reversal of 14126147600 is 674162141.

14126147600 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 3034687744 + 11091459856 = 55088^2 + 105316^2 .

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 11 ways as a sum of consecutive naturals, for example, 391106 + ... + 425694.

It is an arithmetic number, because the mean of its divisors is an integer number (566204863).

Almost surely, 2^14126147600 is an apocalyptic number.

14126147600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14126147600 is an abundant number, since it is smaller than the sum of its proper divisors (19846144180).

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

14126147600 is a wasteful number, since it uses less digits than its factorization.

14126147600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35628 (or 35617 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The spelling of 14126147600 in words is "fourteen billion, one hundred twenty-six million, one hundred forty-seven thousand, six hundred".