11691664384 has 99 divisors (see below), whose sum is σ = 24373757961. Its totient is φ = 5605355520.

The previous prime is 11691664357. The next prime is 11691664403. The reversal of 11691664384 is 48346619611.

The square root of 11691664384 is 108128.

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., 8149033984 + 3542630400 = 90272^2 + 59520^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 107262922 + ... + 107263030.

Almost surely, 2^11691664384 is an apocalyptic number.

11691664384 is the 108128-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11691664384

11691664384 is an abundant number, since it is smaller than the sum of its proper divisors (12682093577).

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

11691664384 is an frugal number, since it uses more digits than its factorization.

11691664384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 142 counting only the distinct ones).

The product of its digits is 746496, while the sum is 49.

Multiplying 11691664384 by its sum of digits (49), we get a square (572891554816 = 756896²).

The spelling of 11691664384 in words is "eleven billion, six hundred ninety-one million, six hundred sixty-four thousand, three hundred eighty-four".