11001145640 has 64 divisors (see below), whose sum is σ = 25848547200. Its totient is φ = 4205912832.

The previous prime is 11001145637. The next prime is 11001145667. The reversal of 11001145640 is 4654110011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1448894 + ... + 1456466.

It is an arithmetic number, because the mean of its divisors is an integer number (403883550).

Almost surely, 2^11001145640 is an apocalyptic number.

11001145640 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 11001145640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12924273600).

11001145640 is an abundant number, since it is smaller than the sum of its proper divisors (14847401560).

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

11001145640 is a wasteful number, since it uses less digits than its factorization.

11001145640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9186 (or 9182 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 23.

Adding to 11001145640 its reverse (4654110011), we get a palindrome (15655255651).

The spelling of 11001145640 in words is "eleven billion, one million, one hundred forty-five thousand, six hundred forty".