11582435085141 has 32 divisors (see below), whose sum is σ = 15669837762048. Its totient is φ = 7608534958080.

The previous prime is 11582435085127. The next prime is 11582435085257. The reversal of 11582435085141 is 14158053428511.

It is not a de Polignac number, because 11582435085141 - 2⁹ = 11582435084629 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11582435085101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1587283605 + ... + 1587290901.

It is an arithmetic number, because the mean of its divisors is an integer number (489682430064).

Almost surely, 2^{11582435085141} is an apocalyptic number.

It is an amenable number.

11582435085141 is a deficient number, since it is larger than the sum of its proper divisors (4087402676907).

11582435085141 is a wasteful number, since it uses less digits than its factorization.

11582435085141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13341.

The product of its (nonzero) digits is 768000, while the sum is 48.

The spelling of 11582435085141 in words is "eleven trillion, five hundred eighty-two billion, four hundred thirty-five million, eighty-five thousand, one hundred forty-one".