11134444441302 has 384 divisors, whose sum is σ = 30882903367680. Its totient is φ = 2820881479680.

The previous prime is 11134444441301. The next prime is 11134444441321. The reversal of 11134444441302 is 20314444443111.

11134444441302 is a `hidden beast` number, since 1 + 1 + 1 + 344 + 4 + 4 + 4 + 4 + 1 + 302 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11134444441301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5345387553 + ... + 5345389635.

It is an arithmetic number, because the mean of its divisors is an integer number (80424227520).

Almost surely, 2^{11134444441302} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11134444441302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15441451683840).

11134444441302 is an abundant number, since it is smaller than the sum of its proper divisors (19748458926378).

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

11134444441302 is a wasteful number, since it uses less digits than its factorization.

11134444441302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3228 (or 3225 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 11134444441302 its reverse (20314444443111), we get a palindrome (31448888884413).

The spelling of 11134444441302 in words is "eleven trillion, one hundred thirty-four billion, four hundred forty-four million, four hundred forty-one thousand, three hundred two".