11966292864 has 64 divisors (see below), whose sum is σ = 35317194000. Its totient is φ = 3988763136.

The previous prime is 11966292859. The next prime is 11966292889. The reversal of 11966292864 is 46829266911.

11966292864 is a `hidden beast` number, since 1 + 1 + 9 + 6 + 629 + 2 + 8 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 11966292864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1727779 + ... + 1734690.

Almost surely, 2^11966292864 is an apocalyptic number.

It is an amenable number.

11966292864 is an abundant number, since it is smaller than the sum of its proper divisors (23350901136).

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

11966292864 is an equidigital number, since it uses as much as digits as its factorization.

11966292864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3462492 (or 3462474 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The spelling of 11966292864 in words is "eleven billion, nine hundred sixty-six million, two hundred ninety-two thousand, eight hundred sixty-four".