11438668800 has 1056 divisors, whose sum is σ = 48328851200. Its totient is φ = 2627665920.

The previous prime is 11438668783. The next prime is 11438668831. The reversal of 11438668800 is 886683411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 170726367 + ... + 170726433.

Almost surely, 2^11438668800 is an apocalyptic number.

11438668800 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 11438668800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24164425600).

11438668800 is an abundant number, since it is smaller than the sum of its proper divisors (36890182400).

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

11438668800 is a wasteful number, since it uses less digits than its factorization.

11438668800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 11438668800 in words is "eleven billion, four hundred thirty-eight million, six hundred sixty-eight thousand, eight hundred".