1135183417344 has 208 divisors, whose sum is σ = 3372901775040. Its totient is φ = 377291243520.

The previous prime is 1135183417339. The next prime is 1135183417367. The reversal of 1135183417344 is 4437143815311.

1135183417344 is a `hidden beast` number, since 1 + 13 + 5 + 183 + 417 + 3 + 44 = 666.

It is a super-3 number, since 3×1135183417344³ (a number of 37 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1135183417344.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38360634 + ... + 38390214.

Almost surely, 2^{1135183417344} 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 1135183417344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1686450887520).

1135183417344 is an abundant number, since it is smaller than the sum of its proper divisors (2237718357696).

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

1135183417344 is an equidigital number, since it uses as much as digits as its factorization.

1135183417344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29961 (or 29933 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The spelling of 1135183417344 in words is "one trillion, one hundred thirty-five billion, one hundred eighty-three million, four hundred seventeen thousand, three hundred forty-four".