14728249600 has 243 divisors, whose sum is σ = 38402718501. Its totient is φ = 5592268800.

The previous prime is 14728249579. The next prime is 14728249603. The reversal of 14728249600 is 694282741.

The square root of 14728249600 is 121360.

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

It can be written as a sum of positive squares in 13 ways, for example, as 10906042624 + 3822206976 = 104432^2 + 61824^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14728249603) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 359225580 + ... + 359225620.

Almost surely, 2^14728249600 is an apocalyptic number.

14728249600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14728249600 is the 121360-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14728249600

14728249600 is an abundant number, since it is smaller than the sum of its proper divisors (23674468901).

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

14728249600 is an frugal number, since it uses more digits than its factorization.

14728249600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The spelling of 14728249600 in words is "fourteen billion, seven hundred twenty-eight million, two hundred forty-nine thousand, six hundred".