11546243040556 has 144 divisors (see below), whose sum is σ = 24080472351936. Its totient is φ = 4742516736000.

The previous prime is 11546243040499. The next prime is 11546243040557. The reversal of 11546243040556 is 65504034264511.

It is not an unprimeable number, because it can be changed into a prime (11546243040557) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 5198667526 + ... + 5198669746.

It is an arithmetic number, because the mean of its divisors is an integer number (167225502444).

Almost surely, 2^{11546243040556} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11546243040556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12040236175968).

11546243040556 is an abundant number, since it is smaller than the sum of its proper divisors (12534229311380).

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

11546243040556 is a wasteful number, since it uses less digits than its factorization.

11546243040556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3612 (or 3549 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 46.

The spelling of 11546243040556 in words is "eleven trillion, five hundred forty-six billion, two hundred forty-three million, forty thousand, five hundred fifty-six".