14151481600 has 81 divisors (see below), whose sum is σ = 35050699537. Its totient is φ = 5656785920.

The previous prime is 14151481529. The next prime is 14151481609. The reversal of 14151481600 is 618415141.

The square root of 14151481600 is 118960.

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

14151481600 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 only one way, i.e., 5094533376 + 9056948224 = 71376^2 + 95168^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14151481609) 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 8 ways as a sum of consecutive naturals, for example, 9516057 + ... + 9517543.

Almost surely, 2^14151481600 is an apocalyptic number.

14151481600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14151481600 is the 118960-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14151481600

14151481600 is an abundant number, since it is smaller than the sum of its proper divisors (20899217937).

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

14151481600 is an frugal number, since it uses more digits than its factorization.

14151481600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3000 (or 1494 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 31.

Adding to 14151481600 its reverse (618415141), we get a palindrome (14769896741).

The spelling of 14151481600 in words is "fourteen billion, one hundred fifty-one million, four hundred eighty-one thousand, six hundred".