11144500105200 has 960 divisors, whose sum is σ = 45034838728704. Its totient is φ = 2288448000000.

The previous prime is 11144500105199. The next prime is 11144500105201. The reversal of 11144500105200 is 250100544111.

It is an interprime number because it is at equal distance from previous prime (11144500105199) and next prime (11144500105201).

It is a super-2 number, since 2×11144500105200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11144500105201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7680564475 + ... + 7680565925.

Almost surely, 2^{11144500105200} is an apocalyptic number.

11144500105200 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 11144500105200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22517419364352).

11144500105200 is an abundant number, since it is smaller than the sum of its proper divisors (33890338623504).

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

11144500105200 is a wasteful number, since it uses less digits than its factorization.

11144500105200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2414 (or 2403 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

Adding to 11144500105200 its reverse (250100544111), we get a palindrome (11394600649311).

The spelling of 11144500105200 in words is "eleven trillion, one hundred forty-four billion, five hundred million, one hundred five thousand, two hundred".