11868363000 has 864 divisors, whose sum is σ = 47852728560. Its totient is φ = 2749593600.

The previous prime is 11868362999. The next prime is 11868363011. The reversal of 11868363000 is 36386811.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

11868363000 is a `hidden beast` number, since 1 + 18 + 6 + 8 + 3 + 630 + 0 + 0 = 666.

11868363000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 698138992 + ... + 698139008.

Almost surely, 2^11868363000 is an apocalyptic number.

11868363000 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 11868363000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23926364280).

11868363000 is an abundant number, since it is smaller than the sum of its proper divisors (35984365560).

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

11868363000 is a wasteful number, since it uses less digits than its factorization.

11868363000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 40 counting only the distinct ones).

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

The spelling of 11868363000 in words is "eleven billion, eight hundred sixty-eight million, three hundred sixty-three thousand".