43664474568100 has 27 divisors (see below), whose sum is σ = 94752053204641. Its totient is φ = 17465763395600.

The previous prime is 43664474568079. The next prime is 43664474568131. The reversal of 43664474568100 is 186547446634.

It is a happy number.

The square root of 43664474568100 is 6607910.

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., 15719210844516 + 27945263723584 = 3964746^2 + 5286328^2 .

It is a super-2 number, since 2×43664474568100² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 65748705 + ... + 66409495.

Almost surely, 2^{43664474568100} is an apocalyptic number.

43664474568100 is the 6607910-th square number.

It is an amenable number.

43664474568100 is an abundant number, since it is smaller than the sum of its proper divisors (51087578636541).

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

43664474568100 is an frugal number, since it uses more digits than its factorization.

43664474568100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1321596 (or 660798 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 58.

The spelling of 43664474568100 in words is "forty-three trillion, six hundred sixty-four billion, four hundred seventy-four million, five hundred sixty-eight thousand, one hundred".