11132340145104 has 160 divisors (see below), whose sum is σ = 31040169552000. Its totient is φ = 3426450923520.

The previous prime is 11132340145097. The next prime is 11132340145109. The reversal of 11132340145104 is 40154104323111.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11132340145109) 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 31 ways as a sum of consecutive naturals, for example, 39082302 + ... + 39366114.

It is an arithmetic number, because the mean of its divisors is an integer number (194001059700).

Almost surely, 2^{11132340145104} 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 11132340145104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15520084776000).

11132340145104 is an abundant number, since it is smaller than the sum of its proper divisors (19907829406896).

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

11132340145104 is a wasteful number, since it uses less digits than its factorization.

11132340145104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284933 (or 284927 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 11132340145104 its reverse (40154104323111), we get a palindrome (51286444468215).

The spelling of 11132340145104 in words is "eleven trillion, one hundred thirty-two billion, three hundred forty million, one hundred forty-five thousand, one hundred four".