11695517656641 has 81 divisors (see below), whose sum is σ = 21281298463971. Its totient is φ = 6168571797024.

The previous prime is 11695517656619. The next prime is 11695517656649. The reversal of 11695517656641 is 14665671559611.

The square root of 11695517656641 is 3419871.

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

11695517656641 is a `hidden beast` number, since 1 + 1 + 6 + 9 + 5 + 517 + 6 + 56 + 64 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1730106162225 + 9965411494416 = 1315335^2 + 3156804^2 .

It is not a de Polignac number, because 11695517656641 - 2¹⁷ = 11695517525569 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (11695517656649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 933618520 + ... + 933631046.

Almost surely, 2^{11695517656641} is an apocalyptic number.

11695517656641 is the 3419871-st square number.

11695517656641 is the 1709936-th centered octagonal number.

It is an amenable number.

11695517656641 is a deficient number, since it is larger than the sum of its proper divisors (9585780807330).

11695517656641 is an frugal number, since it uses more digits than its factorization.

11695517656641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25100 (or 12550 counting only the distinct ones).

The product of its digits is 40824000, while the sum is 63.

The spelling of 11695517656641 in words is "eleven trillion, six hundred ninety-five billion, five hundred seventeen million, six hundred fifty-six thousand, six hundred forty-one".