11582144829997 has 24 divisors (see below), whose sum is σ = 13889629043640. Its totient is φ = 9623726461440.

The previous prime is 11582144829979. The next prime is 11582144830001. The reversal of 11582144829997 is 79992844128511.

It can be written as a sum of positive squares in 4 ways, for example, as 139005191556 + 11443139638441 = 372834^2 + 3382771^2 .

It is not a de Polignac number, because 11582144829997 - 2³⁹ = 11032389016109 is a prime.

It is a Smith number, since the sum of its digits (70) 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 (11582144829917) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18044872 + ... + 18675697.

It is an arithmetic number, because the mean of its divisors is an integer number (578734543485).

Almost surely, 2^{11582144829997} is an apocalyptic number.

It is an amenable number.

11582144829997 is a deficient number, since it is larger than the sum of its proper divisors (2307484213643).

11582144829997 is a wasteful number, since it uses less digits than its factorization.

11582144829997 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36720781 (or 36720774 counting only the distinct ones).

The product of its digits is 104509440, while the sum is 70.

The spelling of 11582144829997 in words is "eleven trillion, five hundred eighty-two billion, one hundred forty-four million, eight hundred twenty-nine thousand, nine hundred ninety-seven".