11807447103144 has 2304 divisors, whose sum is σ = 46077566976000. Its totient is φ = 2738110003200.

The previous prime is 11807447103121. The next prime is 11807447103157. The reversal of 11807447103144 is 44130174470811.

It is a happy number.

11807447103144 is a `hidden beast` number, since 1 + 1 + 80 + 74 + 471 + 0 + 31 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 11807447103144.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 149461355697 + ... + 149461355775.

It is an arithmetic number, because the mean of its divisors is an integer number (19998944000).

Almost surely, 2^{11807447103144} is an apocalyptic number.

11807447103144 is a gapful number since it is divisible by the number (14) 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 11807447103144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23038783488000).

11807447103144 is an abundant number, since it is smaller than the sum of its proper divisors (34270119872856).

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

11807447103144 is a wasteful number, since it uses less digits than its factorization.

11807447103144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 11807447103144 in words is "eleven trillion, eight hundred seven billion, four hundred forty-seven million, one hundred three thousand, one hundred forty-four".