10224441311532 has 192 divisors, whose sum is σ = 28037521612800. Its totient is φ = 2839944374784.

The previous prime is 10224441311509. The next prime is 10224441311561. The reversal of 10224441311532 is 23511314442201.

It is a junction number, because it is equal to n+sod(n) for n = 10224441311493 and 10224441311502.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 130529523 + ... + 130607829.

It is an arithmetic number, because the mean of its divisors is an integer number (146028758400).

Almost surely, 2^{10224441311532} is an apocalyptic number.

10224441311532 is a gapful number since it is divisible by the number (12) 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 10224441311532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14018760806400).

10224441311532 is an abundant number, since it is smaller than the sum of its proper divisors (17813080301268).

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

10224441311532 is a wasteful number, since it uses less digits than its factorization.

10224441311532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78700 (or 78698 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

Adding to 10224441311532 its reverse (23511314442201), we get a palindrome (33735755753733).

The spelling of 10224441311532 in words is "ten trillion, two hundred twenty-four billion, four hundred forty-one million, three hundred eleven thousand, five hundred thirty-two".