11524524032 has 144 divisors (see below), whose sum is σ = 27469210860. Its totient is φ = 4816896000.

The previous prime is 11524524031. The next prime is 11524524079. The reversal of 11524524032 is 23042542511.

It can be written as a sum of positive squares in 2 ways, for example, as 10663453696 + 861070336 = 103264^2 + 29344^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11524523986 and 11524524004.

It is not an unprimeable number, because it can be changed into a prime (11524524031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4113032 + ... + 4115832.

Almost surely, 2^11524524032 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 11524524032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13734605430).

11524524032 is an abundant number, since it is smaller than the sum of its proper divisors (15944686828).

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

11524524032 is an equidigital number, since it uses as much as digits as its factorization.

11524524032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2878 (or 2851 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

It can be divided in two parts, 1152 and 4524032, that multiplied together give a square (5211684864 = 72192²).

The spelling of 11524524032 in words is "eleven billion, five hundred twenty-four million, five hundred twenty-four thousand, thirty-two".