1134334411344 has 120 divisors (see below), whose sum is σ = 3277397177600. Its totient is φ = 365866191360.

The previous prime is 1134334411219. The next prime is 1134334411349. The reversal of 1134334411344 is 4431144334311.

1134334411344 is a `hidden beast` number, since 1 + 134 + 33 + 441 + 13 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1134334411299 and 1134334411308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1134334411349) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52168827 + ... + 52190565.

Almost surely, 2^{1134334411344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1134334411344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1638698588800).

1134334411344 is an abundant number, since it is smaller than the sum of its proper divisors (2143062766256).

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

1134334411344 is a wasteful number, since it uses less digits than its factorization.

1134334411344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33473 (or 33464 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

Adding to 1134334411344 its reverse (4431144334311), we get a palindrome (5565478745655).

The spelling of 1134334411344 in words is "one trillion, one hundred thirty-four billion, three hundred thirty-four million, four hundred eleven thousand, three hundred forty-four".