65588471966241 has 135 divisors (see below), whose sum is σ = 113666299256601. Its totient is φ = 36441687082752.

The previous prime is 65588471966221. The next prime is 65588471966249. The reversal of 65588471966241 is 14266917488556.

The square root of 65588471966241 is 8098671.

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

65588471966241 is a `hidden beast` number, since 6 + 5 + 5 + 8 + 8 + 471 + 96 + 62 + 4 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1479689780625 + 64108782185616 = 1216425^2 + 8006796^2 .

It is not a de Polignac number, because 65588471966241 - 2⁷ = 65588471966113 is a prime.

Its product of digits (696729600) is a multiple of the sum of its prime divisors (1536).

It is a self number, because there is not a number n which added to its sum of digits gives 65588471966241.

It is not an unprimeable number, because it can be changed into a prime (65588471966249) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 44048670825 + ... + 44048672313.

Almost surely, 2^{65588471966241} is an apocalyptic number.

65588471966241 is the 8098671-st square number.

65588471966241 is the 4049336-th centered octagonal number.

It is an amenable number.

65588471966241 is a deficient number, since it is larger than the sum of its proper divisors (48077827290360).

65588471966241 is an frugal number, since it uses more digits than its factorization.

65588471966241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3086 (or 1536 counting only the distinct ones).

The product of its digits is 696729600, while the sum is 72.

The spelling of 65588471966241 in words is "sixty-five trillion, five hundred eighty-eight billion, four hundred seventy-one million, nine hundred sixty-six thousand, two hundred forty-one".