43472198289025 has 81 divisors (see below), whose sum is σ = 59597040042057. Its totient is φ = 31432849219200.

The previous prime is 43472198289007. The next prime is 43472198289043. The reversal of 43472198289025 is 52098289127434.

The square root of 43472198289025 is 6593345.

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

43472198289025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (43472198289007) and next prime (43472198289043).

It can be written as a sum of positive squares in 4 ways, for example, as 24421871538801 + 19050326750224 = 4941849^2 + 4364668^2 .

It is not a de Polignac number, because 43472198289025 - 2⁹ = 43472198288513 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 113504433984 + ... + 113504434366.

Almost surely, 2^{43472198289025} is an apocalyptic number.

43472198289025 is the 6593345-th square number.

43472198289025 is the 3296673-rd centered octagonal number.

It is an amenable number.

43472198289025 is a deficient number, since it is larger than the sum of its proper divisors (16124841753032).

43472198289025 is an frugal number, since it uses more digits than its factorization.

43472198289025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1424 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 64.

The spelling of 43472198289025 in words is "forty-three trillion, four hundred seventy-two billion, one hundred ninety-eight million, two hundred eighty-nine thousand, twenty-five".