11552152522144 has 96 divisors (see below), whose sum is σ = 24741026629200. Its totient is φ = 5277748224000.

The previous prime is 11552152522093. The next prime is 11552152522213. The reversal of 11552152522144 is 44122525125511.

It can be written as a sum of positive squares in 8 ways, for example, as 10500321776400 + 1051830745744 = 3240420^2 + 1025588^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11552152522097 and 11552152522106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 195302814 + ... + 195361954.

Almost surely, 2^{11552152522144} 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 11552152522144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12370513314600).

11552152522144 is an abundant number, since it is smaller than the sum of its proper divisors (13188874107056).

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

11552152522144 is a wasteful number, since it uses less digits than its factorization.

11552152522144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63914 (or 63906 counting only the distinct ones).

The product of its digits is 160000, while the sum is 40.

Adding to 11552152522144 its reverse (44122525125511), we get a palindrome (55674677647655).

The spelling of 11552152522144 in words is "eleven trillion, five hundred fifty-two billion, one hundred fifty-two million, five hundred twenty-two thousand, one hundred forty-four".