11583141340264 has 64 divisors (see below), whose sum is σ = 23817481833600. Its totient is φ = 5248378603776.

The previous prime is 11583141340231. The next prime is 11583141340279. The reversal of 11583141340264 is 46204314138511.

It is a self number, because there is not a number n which added to its sum of digits gives 11583141340264.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3288702 + ... + 5829394.

It is an arithmetic number, because the mean of its divisors is an integer number (372148153650).

Almost surely, 2^{11583141340264} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11583141340264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11908740916800).

11583141340264 is an abundant number, since it is smaller than the sum of its proper divisors (12234340493336).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11583141340264 is a wasteful number, since it uses less digits than its factorization.

11583141340264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2541514 (or 2541510 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 43.

Adding to 11583141340264 its reverse (46204314138511), we get a palindrome (57787455478775).

The spelling of 11583141340264 in words is "eleven trillion, five hundred eighty-three billion, one hundred forty-one million, three hundred forty thousand, two hundred sixty-four".