11677585842616 has 32 divisors (see below), whose sum is σ = 22847634633600. Its totient is φ = 5584887364320.

The previous prime is 11677585842599. The next prime is 11677585842619. The reversal of 11677585842616 is 61624858577611.

It is a super-2 number, since 2×11677585842616² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11677585842619) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38882515 + ... + 39181693.

It is an arithmetic number, because the mean of its divisors is an integer number (713988582300).

Almost surely, 2^{11677585842616} is an apocalyptic number.

It is an amenable number.

11677585842616 is a deficient number, since it is larger than the sum of its proper divisors (11170048790984).

11677585842616 is a wasteful number, since it uses less digits than its factorization.

11677585842616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511339 (or 511335 counting only the distinct ones).

The product of its digits is 135475200, while the sum is 67.

The spelling of 11677585842616 in words is "eleven trillion, six hundred seventy-seven billion, five hundred eighty-five million, eight hundred forty-two thousand, six hundred sixteen".