11442200444900 has 18 divisors (see below), whose sum is σ = 24829574965650. Its totient is φ = 4576880177920.

The previous prime is 11442200444863. The next prime is 11442200444903. The reversal of 11442200444900 is 944400224411.

11442200444900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 2594811948964 + 8847388495936 = 1610842^2 + 2974456^2 .

It is not an unprimeable number, because it can be changed into a prime (11442200444903) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 57211002125 + ... + 57211002324.

It is an arithmetic number, because the mean of its divisors is an integer number (1379420831425).

Almost surely, 2^{11442200444900} is an apocalyptic number.

11442200444900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11442200444900 is an abundant number, since it is smaller than the sum of its proper divisors (13387374520750).

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

11442200444900 is a wasteful number, since it uses less digits than its factorization.

11442200444900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114422004463 (or 114422004456 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 35.

The spelling of 11442200444900 in words is "eleven trillion, four hundred forty-two billion, two hundred million, four hundred forty-four thousand, nine hundred".