11244944179200 has 720 divisors, whose sum is σ = 38724019629120. Its totient is φ = 2876768256000.

The previous prime is 11244944179187. The next prime is 11244944179219. The reversal of 11244944179200 is 297144944211.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 11244944179200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3073226971 + ... + 3073230629.

It is an arithmetic number, because the mean of its divisors is an integer number (53783360596).

Almost surely, 2^{11244944179200} is an apocalyptic number.

11244944179200 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 11244944179200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19362009814560).

11244944179200 is an abundant number, since it is smaller than the sum of its proper divisors (27479075449920).

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

11244944179200 is an equidigital number, since it uses as much as digits as its factorization.

11244944179200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3802 (or 3771 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 11244944179200 in words is "eleven trillion, two hundred forty-four billion, nine hundred forty-four million, one hundred seventy-nine thousand, two hundred".