11338400000 has 108 divisors (see below), whose sum is σ = 28290822084. Its totient is φ = 4535040000.

The previous prime is 11338399987. The next prime is 11338400069. The reversal of 11338400000 is 483311.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 7321882624 + 4016517376 = 85568^2 + 63376^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 792914 + ... + 807086.

Almost surely, 2^11338400000 is an apocalyptic number.

11338400000 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 11338400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14145411042).

11338400000 is an abundant number, since it is smaller than the sum of its proper divisors (16952422084).

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

11338400000 is an frugal number, since it uses more digits than its factorization.

11338400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14214 (or 14180 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 11338400000 its reverse (483311), we get a palindrome (11338883311).

The spelling of 11338400000 in words is "eleven billion, three hundred thirty-eight million, four hundred thousand".