11158436016 has 960 divisors, whose sum is σ = 43887191040. Its totient is φ = 2682408960.

The previous prime is 11158436011. The next prime is 11158436017. The reversal of 11158436016 is 61063485111.

It is a happy number.

11158436016 is a `hidden beast` number, since 1 + 1 + 1 + 5 + 8 + 43 + 601 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (11158436011) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 259498491 + ... + 259498533.

It is an arithmetic number, because the mean of its divisors is an integer number (45715824).

Almost surely, 2^11158436016 is an apocalyptic number.

11158436016 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 11158436016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21943595520).

11158436016 is an abundant number, since it is smaller than the sum of its proper divisors (32728755024).

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

11158436016 is a wasteful number, since it uses less digits than its factorization.

11158436016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 11158436016 in words is "eleven billion, one hundred fifty-eight million, four hundred thirty-six thousand, sixteen".