11855106867456 has 576 divisors, whose sum is σ = 38287226880000. Its totient is φ = 3604500725760.

The previous prime is 11855106867419. The next prime is 11855106867473. The reversal of 11855106867456 is 65476860155811.

It is a happy number.

11855106867456 is a `hidden beast` number, since 1 + 1 + 8 + 5 + 510 + 6 + 8 + 67 + 4 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 11855106867393 and 11855106867402.

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 63 ways as a sum of consecutive naturals, for example, 810155116 + ... + 810169748.

It is an arithmetic number, because the mean of its divisors is an integer number (66470880000).

Almost surely, 2^{11855106867456} is an apocalyptic number.

11855106867456 is a gapful number since it is divisible by the number (16) 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 11855106867456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19143613440000).

11855106867456 is an abundant number, since it is smaller than the sum of its proper divisors (26432120012544).

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

11855106867456 is a wasteful number, since it uses less digits than its factorization.

11855106867456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14907 (or 14887 counting only the distinct ones).

The product of its (nonzero) digits is 48384000, while the sum is 63.

The spelling of 11855106867456 in words is "eleven trillion, eight hundred fifty-five billion, one hundred six million, eight hundred sixty-seven thousand, four hundred fifty-six".