11966511648 has 96 divisors (see below), whose sum is σ = 38661065856. Its totient is φ = 3156000768.

The previous prime is 11966511647. The next prime is 11966511653. The reversal of 11966511648 is 84611566911.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 11966511597 and 11966511606.

It is not an unprimeable number, because it can be changed into a prime (11966511647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 676161 + ... + 693632.

It is an arithmetic number, because the mean of its divisors is an integer number (402719436).

Almost surely, 2^11966511648 is an apocalyptic number.

It is an amenable number.

11966511648 is an abundant number, since it is smaller than the sum of its proper divisors (26694554208).

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

11966511648 is a wasteful number, since it uses less digits than its factorization.

11966511648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1369826 (or 1369818 counting only the distinct ones).

The product of its digits is 311040, while the sum is 48.

The spelling of 11966511648 in words is "eleven billion, nine hundred sixty-six million, five hundred eleven thousand, six hundred forty-eight".