14918900 has 36 divisors (see below), whose sum is σ = 32583852. Its totient is φ = 5928960.

The previous prime is 14918899. The next prime is 14918909. The reversal of 14918900 is 981941.

It can be written as a sum of positive squares in 6 ways, for example, as 3976036 + 10942864 = 1994^2 + 3308^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14918909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18914 + ... + 19686.

It is an arithmetic number, because the mean of its divisors is an integer number (905107).

Almost surely, 2^14918900 is an apocalyptic number.

14918900 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 14918900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16291926).

14918900 is an abundant number, since it is smaller than the sum of its proper divisors (17664952).

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

14918900 is a wasteful number, since it uses less digits than its factorization.

14918900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 32.

The square root of 14918900 is about 3862.4991909384. The cubic root of 14918900 is about 246.1759377709.

The spelling of 14918900 in words is "fourteen million, nine hundred eighteen thousand, nine hundred".