11868336000 has 512 divisors, whose sum is σ = 44375385600. Its totient is φ = 3117312000.

The previous prime is 11868335971. The next prime is 11868336023. The reversal of 11868336000 is 63386811.

11868336000 is a `hidden beast` number, since 1 + 18 + 6 + 8 + 33 + 600 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35855835 + ... + 35856165.

It is an arithmetic number, because the mean of its divisors is an integer number (86670675).

Almost surely, 2^11868336000 is an apocalyptic number.

11868336000 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 11868336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22187692800).

11868336000 is an abundant number, since it is smaller than the sum of its proper divisors (32507049600).

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

11868336000 is an equidigital number, since it uses as much as digits as its factorization.

11868336000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 11868336000 in words is "eleven billion, eight hundred sixty-eight million, three hundred thirty-six thousand".