11583412318417 has 8 divisors (see below), whose sum is σ = 12276802058472. Its totient is φ = 10891357305600.

The previous prime is 11583412318411. The next prime is 11583412318453. The reversal of 11583412318417 is 71481321438511.

It can be written as a sum of positive squares in 4 ways, for example, as 5006321225361 + 6577091093056 = 2237481^2 + 2564584^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 11583412318417 - 2¹¹ = 11583412316369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11583412318411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 333663934 + ... + 333698647.

It is an arithmetic number, because the mean of its divisors is an integer number (1534600257309).

Almost surely, 2^{11583412318417} is an apocalyptic number.

11583412318417 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

11583412318417 is a deficient number, since it is larger than the sum of its proper divisors (693389740055).

11583412318417 is a wasteful number, since it uses less digits than its factorization.

11583412318417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667363619.

The product of its digits is 645120, while the sum is 49.

The spelling of 11583412318417 in words is "eleven trillion, five hundred eighty-three billion, four hundred twelve million, three hundred eighteen thousand, four hundred seventeen".