1135352235744 has 144 divisors (see below), whose sum is σ = 3443175131760. Its totient is φ = 353626214400.

The previous prime is 1135352235737. The next prime is 1135352235799. The reversal of 1135352235744 is 4475322535311.

It is a happy number.

1135352235744 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 3 + 52 + 23 + 574 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 1135352235744.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153607 + ... + 1514694.

It is an arithmetic number, because the mean of its divisors is an integer number (23910938415).

Almost surely, 2^{1135352235744} 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 1135352235744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1721587565880).

1135352235744 is an abundant number, since it is smaller than the sum of its proper divisors (2307822896016).

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

1135352235744 is a wasteful number, since it uses less digits than its factorization.

1135352235744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1668473 (or 1668462 counting only the distinct ones).

The product of its digits is 1512000, while the sum is 45.

The spelling of 1135352235744 in words is "one trillion, one hundred thirty-five billion, three hundred fifty-two million, two hundred thirty-five thousand, seven hundred forty-four".