11686339000 has 128 divisors (see below), whose sum is σ = 32097985920. Its totient is φ = 3898368000.

The previous prime is 11686338997. The next prime is 11686339009. The reversal of 11686339000 is 93368611.

11686339000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11686339009) 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, 236440 + ... + 281560.

It is an arithmetic number, because the mean of its divisors is an integer number (250765515).

Almost surely, 2^11686339000 is an apocalyptic number.

11686339000 is a gapful number since it is divisible by the number (10) 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 11686339000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16048992960).

11686339000 is an abundant number, since it is smaller than the sum of its proper divisors (20411646920).

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

11686339000 is a wasteful number, since it uses less digits than its factorization.

11686339000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45186 (or 45172 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 37.

The spelling of 11686339000 in words is "eleven billion, six hundred eighty-six million, three hundred thirty-nine thousand".