14848800 has 144 divisors (see below), whose sum is σ = 50621760. Its totient is φ = 3773440.

The previous prime is 14848793. The next prime is 14848807. The reversal of 14848800 is 884841.

It is an interprime number because it is at equal distance from previous prime (14848793) and next prime (14848807).

It is a super-2 number, since 2×14848800² = 440973722880000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14848807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55066 + ... + 55334.

It is an arithmetic number, because the mean of its divisors is an integer number (351540).

Almost surely, 2^14848800 is an apocalyptic number.

14848800 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 14848800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25310880).

14848800 is an abundant number, since it is smaller than the sum of its proper divisors (35772960).

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

14848800 is a wasteful number, since it uses less digits than its factorization.

14848800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

The square root of 14848800 is about 3853.4140706651. The cubic root of 14848800 is about 245.7897602239.

The spelling of 14848800 in words is "fourteen million, eight hundred forty-eight thousand, eight hundred".