11185386312 has 128 divisors (see below), whose sum is σ = 29514792960. Its totient is φ = 3525646080.

The previous prime is 11185386253. The next prime is 11185386319. The reversal of 11185386312 is 21368358111.

11185386312 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-2 number, since 2×11185386312² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11185386319) 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 31 ways as a sum of consecutive naturals, for example, 29204473 + ... + 29204855.

It is an arithmetic number, because the mean of its divisors is an integer number (230584320).

Almost surely, 2^11185386312 is an apocalyptic number.

11185386312 is a gapful number since it is divisible by the number (12) 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 11185386312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14757396480).

11185386312 is an abundant number, since it is smaller than the sum of its proper divisors (18329406648).

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

11185386312 is a wasteful number, since it uses less digits than its factorization.

11185386312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883 (or 879 counting only the distinct ones).

The product of its digits is 34560, while the sum is 39.

The spelling of 11185386312 in words is "eleven billion, one hundred eighty-five million, three hundred eighty-six thousand, three hundred twelve".