11545000000 has 112 divisors (see below), whose sum is σ = 28649340720. Its totient is φ = 4616000000.

The previous prime is 11544999997. The next prime is 11545000007. The reversal of 11545000000 is 54511.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 10446475264 + 1098524736 = 102208^2 + 33144^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (11545000007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4998846 + ... + 5001154.

It is an arithmetic number, because the mean of its divisors is an integer number (255797685).

Almost surely, 2^11545000000 is an apocalyptic number.

11545000000 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 11545000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14324670360).

11545000000 is an abundant number, since it is smaller than the sum of its proper divisors (17104340720).

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

11545000000 is an frugal number, since it uses more digits than its factorization.

11545000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2356 (or 2316 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 16.

Adding to 11545000000 its reverse (54511), we get a palindrome (11545054511).

The spelling of 11545000000 in words is "eleven billion, five hundred forty-five million", and thus it is an aban number.