11542886956224 has 448 divisors, whose sum is σ = 36705218618880. Its totient is φ = 3536053678080.

The previous prime is 11542886956199. The next prime is 11542886956229. The reversal of 11542886956224 is 42265968824511.

11542886956224 is a `hidden beast` number, since 1 + 1 + 5 + 4 + 2 + 8 + 8 + 69 + 562 + 2 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (11542886956229) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 6459365059 + ... + 6459366845.

It is an arithmetic number, because the mean of its divisors is an integer number (81931291560).

Almost surely, 2^{11542886956224} 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 11542886956224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18352609309440).

11542886956224 is an abundant number, since it is smaller than the sum of its proper divisors (25162331662656).

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

11542886956224 is a wasteful number, since it uses less digits than its factorization.

11542886956224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2925 (or 2909 counting only the distinct ones).

The product of its digits is 66355200, while the sum is 63.

The spelling of 11542886956224 in words is "eleven trillion, five hundred forty-two billion, eight hundred eighty-six million, nine hundred fifty-six thousand, two hundred twenty-four".