11677671174517 has 6 divisors (see below), whose sum is σ = 12324633566838. Its totient is φ = 11063056901832.

The previous prime is 11677671174503. The next prime is 11677671174563. The reversal of 11677671174517 is 71547117677611.

It can be written as a sum of positive squares in only one way, i.e., 8492013779236 + 3185657395281 = 2914106^2 + 1784841^2 .

It is a de Polignac number, because none of the positive numbers 2^k-11677671174517 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11677671174217) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16174059438 + ... + 16174060159.

It is an arithmetic number, because the mean of its divisors is an integer number (2054105594473).

Almost surely, 2^{11677671174517} is an apocalyptic number.

It is an amenable number.

11677671174517 is a deficient number, since it is larger than the sum of its proper divisors (646962392321).

11677671174517 is an equidigital number, since it uses as much as digits as its factorization.

11677671174517 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32348119635 (or 32348119616 counting only the distinct ones).

The product of its digits is 12101040, while the sum is 61.

The spelling of 11677671174517 in words is "eleven trillion, six hundred seventy-seven billion, six hundred seventy-one million, one hundred seventy-four thousand, five hundred seventeen".