11444112300 has 144 divisors (see below), whose sum is σ = 36370172160. Its totient is φ = 2765410560.

The previous prime is 11444112287. The next prime is 11444112301. The reversal of 11444112300 is 321144411.

It is a super-2 number, since 2×11444112300² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11444112301) 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, 87454 + ... + 174746.

It is an arithmetic number, because the mean of its divisors is an integer number (252570640).

Almost surely, 2^11444112300 is an apocalyptic number.

11444112300 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 11444112300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18185086080).

11444112300 is an abundant number, since it is smaller than the sum of its proper divisors (24926059860).

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

11444112300 is a wasteful number, since it uses less digits than its factorization.

11444112300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87352 (or 87345 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 11444112300 its reverse (321144411), we get a palindrome (11765256711).

The spelling of 11444112300 in words is "eleven billion, four hundred forty-four million, one hundred twelve thousand, three hundred".