1135551135744 has 300 divisors, whose sum is σ = 3592162719684. Its totient is φ = 356244258816.

The previous prime is 1135551135743. The next prime is 1135551135751. The reversal of 1135551135744 is 4475311555311.

It is a happy number.

1135551135744 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 551 + 1 + 3 + 57 + 44 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 890169606144 + 245381529600 = 943488^2 + 495360^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1135551135744.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1135551135743) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 22535602 + ... + 22585934.

Almost surely, 2^{1135551135744} 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 1135551135744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1796081359842).

1135551135744 is an abundant number, since it is smaller than the sum of its proper divisors (2456611583940).

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

1135551135744 is an frugal number, since it uses more digits than its factorization.

1135551135744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50390 (or 50355 counting only the distinct ones).

The product of its digits is 630000, while the sum is 45.

The spelling of 1135551135744 in words is "one trillion, one hundred thirty-five billion, five hundred fifty-one million, one hundred thirty-five thousand, seven hundred forty-four".