11795697664 has 39 divisors (see below), whose sum is σ = 23602423837. Its totient is φ = 5894373376.

The previous prime is 11795697647. The next prime is 11795697721. The reversal of 11795697664 is 46679659711.

The square root of 11795697664 is 108608.

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., 11355033600 + 440664064 = 106560^2 + 20992^2 .

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 2 ways as a sum of consecutive naturals, for example, 6950064 + ... + 6951760.

Almost surely, 2^11795697664 is an apocalyptic number.

11795697664 is the 108608-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11795697664

11795697664 is an abundant number, since it is smaller than the sum of its proper divisors (11806726173).

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

11795697664 is an frugal number, since it uses more digits than its factorization.

11795697664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3418 (or 1699 counting only the distinct ones).

The product of its digits is 17146080, while the sum is 61.

The spelling of 11795697664 in words is "eleven billion, seven hundred ninety-five million, six hundred ninety-seven thousand, six hundred sixty-four".