11314400000 has 108 divisors (see below), whose sum is σ = 28230943104. Its totient is φ = 4525440000.

The previous prime is 11314399937. The next prime is 11314400021. The reversal of 11314400000 is 441311.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 792929 + ... + 807071.

Almost surely, 2^11314400000 is an apocalyptic number.

11314400000 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 11314400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14115471552).

11314400000 is an abundant number, since it is smaller than the sum of its proper divisors (16916543104).

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

11314400000 is an frugal number, since it uses more digits than its factorization.

11314400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14184 (or 14150 counting only the distinct ones).

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

Adding to 11314400000 its reverse (441311), we get a palindrome (11314841311).

The spelling of 11314400000 in words is "eleven billion, three hundred fourteen million, four hundred thousand".