11452241104000 has 128 divisors (see below), whose sum is σ = 28476037390320. Its totient is φ = 4580429414400.

The previous prime is 11452241103973. The next prime is 11452241104001. The reversal of 11452241104000 is 40114225411.

It can be written as a sum of positive squares in 8 ways, for example, as 751439324736 + 10700801779264 = 866856^2 + 3271208^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (11452241104001) by changing a digit.

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, 186801352 + ... + 186862648.

Almost surely, 2^{11452241104000} is an apocalyptic number.

11452241104000 is a gapful number since it is divisible by the number (10) 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 11452241104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14238018695160).

11452241104000 is an abundant number, since it is smaller than the sum of its proper divisors (17023796286320).

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

11452241104000 is an equidigital number, since it uses as much as digits as its factorization.

11452241104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73003 (or 72981 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

Adding to 11452241104000 its reverse (40114225411), we get a palindrome (11492355329411).

The spelling of 11452241104000 in words is "eleven trillion, four hundred fifty-two billion, two hundred forty-one million, one hundred four thousand".