11338137839808 has 1176 divisors, whose sum is σ = 39175451412720. Its totient is φ = 3225265827840.

The previous prime is 11338137839801. The next prime is 11338137839813. The reversal of 11338137839808 is 80893873183311.

11338137839808 is a `hidden beast` number, since 1 + 1 + 338 + 137 + 83 + 98 + 0 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11338137839801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 89276675841 + ... + 89276675967.

Almost surely, 2^{11338137839808} is an apocalyptic number.

11338137839808 is a gapful number since it is divisible by the number (18) 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 11338137839808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19587725706360).

11338137839808 is an abundant number, since it is smaller than the sum of its proper divisors (27837313572912).

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

11338137839808 is an equidigital number, since it uses as much as digits as its factorization.

11338137839808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 11338137839808 in words is "eleven trillion, three hundred thirty-eight billion, one hundred thirty-seven million, eight hundred thirty-nine thousand, eight hundred eight".