435683005666441 has 45 divisors (see below), whose sum is σ = 476638588471929. Its totient is φ = 398245217819904.

The previous prime is 435683005666427. The next prime is 435683005666453. The reversal of 435683005666441 is 144666500386534.

The square root of 435683005666441 is 20873021.

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

It can be written as a sum of positive squares in 22 ways, for example, as 224922876610041 + 210760129056400 = 14997429^2 + 14517580^2 .

It is not a de Polignac number, because 435683005666441 - 2⁷ = 435683005666313 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 435683005666441.

It is not an unprimeable number, because it can be changed into a prime (435683005666411) 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 44 ways as a sum of consecutive naturals, for example, 398612081491 + ... + 398612082583.

Almost surely, 2^{435683005666441} is an apocalyptic number.

435683005666441 is the 20873021-st square number.

435683005666441 is the 10436511-st centered octagonal number.

It is an amenable number.

435683005666441 is a deficient number, since it is larger than the sum of its proper divisors (40955582805488).

435683005666441 is an frugal number, since it uses more digits than its factorization.

435683005666441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2464 (or 1219 counting only the distinct ones).

The product of its (nonzero) digits is 149299200, while the sum is 61.

The spelling of 435683005666441 in words is "four hundred thirty-five trillion, six hundred eighty-three billion, five million, six hundred sixty-six thousand, four hundred forty-one".