10005144511332 has 48 divisors (see below), whose sum is σ = 24597421318400. Its totient is φ = 3156513040800.

The previous prime is 10005144511331. The next prime is 10005144511363. The reversal of 10005144511332 is 23311544150001.

It is a self number, because there is not a number n which added to its sum of digits gives 10005144511332.

It is not an unprimeable number, because it can be changed into a prime (10005144511331) 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 15 ways as a sum of consecutive naturals, for example, 20636782 + ... + 21116037.

Almost surely, 2^{10005144511332} is an apocalyptic number.

10005144511332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10005144511332 is an abundant number, since it is smaller than the sum of its proper divisors (14592276807068).

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

10005144511332 is a wasteful number, since it uses less digits than its factorization.

10005144511332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41753896 (or 41753894 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 10005144511332 its reverse (23311544150001), we get a palindrome (33316688661333).

The spelling of 10005144511332 in words is "ten trillion, five billion, one hundred forty-four million, five hundred eleven thousand, three hundred thirty-two".