11314400 has 36 divisors (see below), whose sum is σ = 27623232. Its totient is φ = 4525440.

The previous prime is 11314399. The next prime is 11314403. The reversal of 11314400 is 441311.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11314403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6272 + ... + 7871.

It is an arithmetic number, because the mean of its divisors is an integer number (767312).

Almost surely, 2^11314400 is an apocalyptic number.

11314400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11314400 is an abundant number, since it is smaller than the sum of its proper divisors (16308832).

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

11314400 is a wasteful number, since it uses less digits than its factorization.

11314400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14163 (or 14150 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 11314400 is about 3363.6884516851. The cubic root of 11314400 is about 224.4969832747.

Adding to 11314400 its reverse (441311), we get a palindrome (11755711).

The spelling of 11314400 in words is "eleven million, three hundred fourteen thousand, four hundred".