11663241124500 has 384 divisors, whose sum is σ = 43531177697280. Its totient is φ = 2640966595200.

The previous prime is 11663241124477. The next prime is 11663241124501. The reversal of 11663241124500 is 542114236611.

11663241124500 is a `hidden beast` number, since 1 + 1 + 6 + 6 + 3 + 24 + 1 + 124 + 500 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11663241124501) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9534769 + ... + 10688231.

It is an arithmetic number, because the mean of its divisors is an integer number (113362441920).

Almost surely, 2^{11663241124500} is an apocalyptic number.

11663241124500 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 11663241124500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21765588848640).

11663241124500 is an abundant number, since it is smaller than the sum of its proper divisors (31867936572780).

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

11663241124500 is a wasteful number, since it uses less digits than its factorization.

11663241124500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1153605 (or 1153587 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 11663241124500 in words is "eleven trillion, six hundred sixty-three billion, two hundred forty-one million, one hundred twenty-four thousand, five hundred".