11344001100 has 72 divisors (see below), whose sum is σ = 32963046480. Its totient is φ = 3012065280.

The previous prime is 11344001093. The next prime is 11344001101. The reversal of 11344001100 is 110044311.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11344001100.

It is not an unprimeable number, because it can be changed into a prime (11344001101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11245 + ... + 151044.

It is an arithmetic number, because the mean of its divisors is an integer number (457820090).

Almost surely, 2^11344001100 is an apocalyptic number.

11344001100 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 11344001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16481523240).

11344001100 is an abundant number, since it is smaller than the sum of its proper divisors (21619045380).

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

11344001100 is a wasteful number, since it uses less digits than its factorization.

11344001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162539 (or 162532 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 11344001100 its reverse (110044311), we get a palindrome (11454045411).

The spelling of 11344001100 in words is "eleven billion, three hundred forty-four million, one thousand, one hundred".