11386391016 has 256 divisors, whose sum is σ = 39455539200. Its totient is φ = 2641766400.

The previous prime is 11386391011. The next prime is 11386391039. The reversal of 11386391016 is 61019368311.

It is a happy number.

11386391016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×11386391016³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (11386391011) 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 63 ways as a sum of consecutive naturals, for example, 737100 + ... + 752388.

It is an arithmetic number, because the mean of its divisors is an integer number (154123200).

Almost surely, 2^11386391016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11386391016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19727769600).

11386391016 is an abundant number, since it is smaller than the sum of its proper divisors (28069148184).

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

11386391016 is a wasteful number, since it uses less digits than its factorization.

11386391016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15360 (or 15356 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The spelling of 11386391016 in words is "eleven billion, three hundred eighty-six million, three hundred ninety-one thousand, sixteen".