18014400 has 210 divisors, whose sum is σ = 66692780. Its totient is φ = 4769280.

The previous prime is 18014393. The next prime is 18014417. The reversal of 18014400 is 441081.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 129531 + ... + 129669.

Almost surely, 2^18014400 is an apocalyptic number.

18014400 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 18014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33346390).

18014400 is an abundant number, since it is smaller than the sum of its proper divisors (48678380).

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

18014400 is a wasteful number, since it uses less digits than its factorization.

18014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 18014400 is about 4244.3374041186. The cubic root of 18014400 is about 262.1440072300.

Adding to 18014400 its reverse (441081), we get a palindrome (18455481).

The spelling of 18014400 in words is "eighteen million, fourteen thousand, four hundred".