11585688502345 has 16 divisors (see below), whose sum is σ = 14051601487440. Its totient is φ = 9169624569600.

The previous prime is 11585688502343. The next prime is 11585688502361. The reversal of 11585688502345 is 54320588658511.

It can be written as a sum of positive squares in 8 ways, for example, as 1712883769 + 11583975618576 = 41387^2 + 3403524^2 .

It is not a de Polignac number, because 11585688502345 - 2¹ = 11585688502343 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11585688502343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15720046 + ... + 16440535.

It is an arithmetic number, because the mean of its divisors is an integer number (878225092965).

Almost surely, 2^{11585688502345} is an apocalyptic number.

It is an amenable number.

11585688502345 is a deficient number, since it is larger than the sum of its proper divisors (2465912985095).

11585688502345 is a wasteful number, since it uses less digits than its factorization.

11585688502345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32161356.

The product of its (nonzero) digits is 46080000, while the sum is 61.

The spelling of 11585688502345 in words is "eleven trillion, five hundred eighty-five billion, six hundred eighty-eight million, five hundred two thousand, three hundred forty-five".