1135576757745 has 20 divisors (see below), whose sum is σ = 2035626484980. Its totient is φ = 605640937248.

The previous prime is 1135576757737. The next prime is 1135576757797. The reversal of 1135576757745 is 5477576755311.

1135576757745 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 57 + 6 + 7 + 577 + 4 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 265686640704 + 869890117041 = 515448^2 + 932679^2 .

It is not a de Polignac number, because 1135576757745 - 2³ = 1135576757737 is a prime.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 1401946210 + ... + 1401947019.

It is an arithmetic number, because the mean of its divisors is an integer number (101781324249).

Almost surely, 2^{1135576757745} is an apocalyptic number.

1135576757745 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1135576757745 is a deficient number, since it is larger than the sum of its proper divisors (900049727235).

1135576757745 is an equidigital number, since it uses as much as digits as its factorization.

1135576757745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2803893246 (or 2803893237 counting only the distinct ones).

The product of its digits is 108045000, while the sum is 63.

The spelling of 1135576757745 in words is "one trillion, one hundred thirty-five billion, five hundred seventy-six million, seven hundred fifty-seven thousand, seven hundred forty-five".