17985581137067 has 16 divisors (see below), whose sum is σ = 18436827467520. Its totient is φ = 17535845325600.

The previous prime is 17985581137061. The next prime is 17985581137201. The reversal of 17985581137067 is 76073118558971.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-17985581137067 is a prime.

It is a super-2 number, since 2×17985581137067² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 17985581136988 and 17985581137006.

It is not an unprimeable number, because it can be changed into a prime (17985581137061) 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, 136168784 + ... + 136300802.

It is an arithmetic number, because the mean of its divisors is an integer number (1152301716720).

Almost surely, 2^{17985581137067} is an apocalyptic number.

17985581137067 is a deficient number, since it is larger than the sum of its proper divisors (451246330453).

17985581137067 is a wasteful number, since it uses less digits than its factorization.

17985581137067 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137714.

The product of its (nonzero) digits is 88905600, while the sum is 68.

The spelling of 17985581137067 in words is "seventeen trillion, nine hundred eighty-five billion, five hundred eighty-one million, one hundred thirty-seven thousand, sixty-seven".