1135829738716 has 48 divisors (see below), whose sum is σ = 2095135328160. Its totient is φ = 537300725760.

The previous prime is 1135829738713. The next prime is 1135829738749. The reversal of 1135829738716 is 6178379285311.

It is a Smith number, since the sum of its digits (61) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1135829738713) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 278866056 + ... + 278870128.

It is an arithmetic number, because the mean of its divisors is an integer number (43648652670).

Almost surely, 2^{1135829738716} is an apocalyptic number.

It is an amenable number.

1135829738716 is a deficient number, since it is larger than the sum of its proper divisors (959305589444).

1135829738716 is a wasteful number, since it uses less digits than its factorization.

1135829738716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8134 (or 8132 counting only the distinct ones).

The product of its digits is 15240960, while the sum is 61.

The spelling of 1135829738716 in words is "one trillion, one hundred thirty-five billion, eight hundred twenty-nine million, seven hundred thirty-eight thousand, seven hundred sixteen".