11687118966 has 64 divisors (see below), whose sum is σ = 26139960000. Its totient is φ = 3870498816.

The previous prime is 11687118953. The next prime is 11687118983. The reversal of 11687118966 is 66981178611.

11687118966 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 9508840 + ... + 9510068.

It is an arithmetic number, because the mean of its divisors is an integer number (408436875).

Almost surely, 2^11687118966 is an apocalyptic number.

11687118966 is an abundant number, since it is smaller than the sum of its proper divisors (14452841034).

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

11687118966 is a wasteful number, since it uses less digits than its factorization.

11687118966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2238 (or 2232 counting only the distinct ones).

The product of its digits is 870912, while the sum is 54.

The spelling of 11687118966 in words is "eleven billion, six hundred eighty-seven million, one hundred eighteen thousand, nine hundred sixty-six".