11675666916 has 243 divisors, whose sum is σ = 33180319081. Its totient is φ = 3594308256.

The previous prime is 11675666903. The next prime is 11675666921. The reversal of 11675666916 is 61966657611.

It is a happy number.

The square root of 11675666916 is 108054.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 6122436516 + 5553230400 = 78246^2 + 74520^2 .

It is a tau number, because it is divible by the number of its divisors (243).

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 402609190 + ... + 402609218.

Almost surely, 2^11675666916 is an apocalyptic number.

11675666916 is the 108054-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11675666916

11675666916 is an abundant number, since it is smaller than the sum of its proper divisors (21504652165).

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

11675666916 is an frugal number, since it uses more digits than its factorization.

11675666916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 57 counting only the distinct ones).

The product of its digits is 2449440, while the sum is 54.

The spelling of 11675666916 in words is "eleven billion, six hundred seventy-five million, six hundred sixty-six thousand, nine hundred sixteen".