11705508864 has 495 divisors, whose sum is σ = 41219188283. Its totient is φ = 3199021056.

The previous prime is 11705508779. The next prime is 11705508869. The reversal of 11705508864 is 46880550711.

The square root of 11705508864 is 108192.

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

11705508864 is a `hidden beast` number, since 1 + 17 + 0 + 550 + 8 + 86 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (11705508869) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 508935157 + ... + 508935179.

Almost surely, 2^11705508864 is an apocalyptic number.

11705508864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

11705508864 is the 108192-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11705508864

11705508864 is an abundant number, since it is smaller than the sum of its proper divisors (29513679419).

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

11705508864 is an frugal number, since it uses more digits than its factorization.

11705508864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 11705508864 in words is "eleven billion, seven hundred five million, five hundred eight thousand, eight hundred sixty-four".