14287420900 has 27 divisors (see below), whose sum is σ = 31006297371. Its totient is φ = 5714490240.

The previous prime is 14287420859. The next prime is 14287420909. The reversal of 14287420900 is 902478241.

The square root of 14287420900 is 119530.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1511187876 + 12776233024 = 38874^2 + 113032^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 14287420900.

It is not an unprimeable number, because it can be changed into a prime (14287420909) 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 8 ways as a sum of consecutive naturals, for example, 1189324 + ... + 1201276.

Almost surely, 2^14287420900 is an apocalyptic number.

14287420900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14287420900 is the 119530-th square number.

It is an amenable number.

14287420900 is an abundant number, since it is smaller than the sum of its proper divisors (16718876471).

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

14287420900 is an frugal number, since it uses more digits than its factorization.

14287420900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23920 (or 11960 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The spelling of 14287420900 in words is "fourteen billion, two hundred eighty-seven million, four hundred twenty thousand, nine hundred".