14122945600 has 63 divisors (see below), whose sum is σ = 34762973781. Its totient is φ = 5647276800.

The previous prime is 14122945589. The next prime is 14122945607. The reversal of 14122945600 is 654922141.

The square root of 14122945600 is 118840.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5084260416 + 9038685184 = 71304^2 + 95072^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14122945607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4752115 + ... + 4755085.

Almost surely, 2^14122945600 is an apocalyptic number.

14122945600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14122945600 is the 118840-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14122945600

14122945600 is an abundant number, since it is smaller than the sum of its proper divisors (20640028181).

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

14122945600 is an frugal number, since it uses more digits than its factorization.

14122945600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5964 (or 2978 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The spelling of 14122945600 in words is "fourteen billion, one hundred twenty-two million, nine hundred forty-five thousand, six hundred".