14728748400 has 300 divisors, whose sum is σ = 53506934712. Its totient is φ = 3879636480.

The previous prime is 14728748381. The next prime is 14728748417. The reversal of 14728748400 is 484782741.

14728748400 is a `hidden beast` number, since 147 + 28 + 7 + 484 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2686462 + ... + 2691938.

Almost surely, 2^14728748400 is an apocalyptic number.

14728748400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14728748400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26753467356).

14728748400 is an abundant number, since it is smaller than the sum of its proper divisors (38778186312).

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

14728748400 is a wasteful number, since it uses less digits than its factorization.

14728748400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5590 (or 5570 counting only the distinct ones).

The product of its (nonzero) digits is 401408, while the sum is 45.

The spelling of 14728748400 in words is "fourteen billion, seven hundred twenty-eight million, seven hundred forty-eight thousand, four hundred".