11344800096 has 288 divisors, whose sum is σ = 38020207680. Its totient is φ = 3141844992.

The previous prime is 11344800091. The next prime is 11344800097. The reversal of 11344800096 is 69000844311.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 11344800096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11344800091) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9508876 + ... + 9510068.

It is an arithmetic number, because the mean of its divisors is an integer number (132014610).

Almost surely, 2^11344800096 is an apocalyptic number.

11344800096 is a gapful number since it is divisible by the number (16) 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 11344800096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19010103840).

11344800096 is an abundant number, since it is smaller than the sum of its proper divisors (26675407584).

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

11344800096 is a wasteful number, since it uses less digits than its factorization.

11344800096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1358 (or 1347 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 11344800096 in words is "eleven billion, three hundred forty-four million, eight hundred thousand, ninety-six".