11441172436848 has 960 divisors, whose sum is σ = 44561445027840. Its totient is φ = 2649048883200.

The previous prime is 11441172436829. The next prime is 11441172436871. The reversal of 11441172436848 is 84863427114411.

11441172436848 is a `hidden beast` number, since 1 + 14 + 4 + 117 + 2 + 436 + 84 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 11441172436794 and 11441172436803.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 274617843 + ... + 274659501.

It is an arithmetic number, because the mean of its divisors is an integer number (46418171904).

Almost surely, 2^{11441172436848} is an apocalyptic number.

11441172436848 is a gapful number since it is divisible by the number (18) 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 11441172436848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22280722513920).

11441172436848 is an abundant number, since it is smaller than the sum of its proper divisors (33120272590992).

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

11441172436848 is a wasteful number, since it uses less digits than its factorization.

11441172436848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41786 (or 41777 counting only the distinct ones).

The product of its digits is 4128768, while the sum is 54.

The spelling of 11441172436848 in words is "eleven trillion, four hundred forty-one billion, one hundred seventy-two million, four hundred thirty-six thousand, eight hundred forty-eight".