14089963395600 has 405 divisors, whose sum is σ = 49632986466453. Its totient is φ = 3701529169920.

The previous prime is 14089963395539. The next prime is 14089963395601. The reversal of 14089963395600 is 659336998041.

The square root of 14089963395600 is 3753660.

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

14089963395600 is a `hidden beast` number, since 1 + 4 + 0 + 8 + 9 + 9 + 63 + 3 + 9 + 560 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 1640131016976 + 12449832378624 = 1280676^2 + 3528432^2 .

It is not an unprimeable number, because it can be changed into a prime (14089963395601) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 16441030372 + ... + 16441031228.

Almost surely, 2^{14089963395600} is an apocalyptic number.

14089963395600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14089963395600 is the 3753660-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14089963395600

14089963395600 is an abundant number, since it is smaller than the sum of its proper divisors (35543023070853).

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

14089963395600 is an frugal number, since it uses more digits than its factorization.

14089963395600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1884 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 37791360, while the sum is 63.

The spelling of 14089963395600 in words is "fourteen trillion, eighty-nine billion, nine hundred sixty-three million, three hundred ninety-five thousand, six hundred".