11138726016 has 320 divisors, whose sum is σ = 36557991360. Its totient is φ = 3338496000.

The previous prime is 11138725999. The next prime is 11138726017. The reversal of 11138726016 is 61062783111.

11138726016 is a `hidden beast` number, since 1 + 1 + 1 + 387 + 260 + 16 = 666.

11138726016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11138726017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11518365 + ... + 11519331.

It is an arithmetic number, because the mean of its divisors is an integer number (114243723).

Almost surely, 2^11138726016 is an apocalyptic number.

11138726016 is a gapful number since it is divisible by the number (16) 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 11138726016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18278995680).

11138726016 is an abundant number, since it is smaller than the sum of its proper divisors (25419265344).

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

11138726016 is a wasteful number, since it uses less digits than its factorization.

11138726016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 11138726016 in words is "eleven billion, one hundred thirty-eight million, seven hundred twenty-six thousand, sixteen".