43443064900 has 81 divisors (see below), whose sum is σ = 99585025239. Its totient is φ = 16447628160.

The previous prime is 43443064897. The next prime is 43443064913. The reversal of 43443064900 is 946034434.

The square root of 43443064900 is 208430.

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

It can be written as a sum of positive squares in 4 ways, for example, as 5530301956 + 37912762944 = 74366^2 + 194712^2 .

It is a super-2 number, since 2×43443064900² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 43443064900.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 39601152 + ... + 39602248.

Almost surely, 2^43443064900 is an apocalyptic number.

43443064900 is the 208430-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43443064900

43443064900 is an abundant number, since it is smaller than the sum of its proper divisors (56141960339).

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

43443064900 is a wasteful number, since it uses less digits than its factorization.

43443064900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2246 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 37.

The spelling of 43443064900 in words is "forty-three billion, four hundred forty-three million, sixty-four thousand, nine hundred".