43081488195201 has 243 divisors, whose sum is σ = 70331938348347. Its totient is φ = 25406047457280.

The previous prime is 43081488195139. The next prime is 43081488195227. The reversal of 43081488195201 is 10259188418034.

The square root of 43081488195201 is 6563649.

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

43081488195201 is a `hidden beast` number, since 4 + 30 + 8 + 1 + 4 + 8 + 81 + 9 + 520 + 1 = 666.

43081488195201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 29960286012801 + 13121202182400 = 5473599^2 + 3622320^2 .

It is not a de Polignac number, because 43081488195201 - 2²⁹ = 43080951324289 is a prime.

It is a super-3 number, since 3×43081488195201³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (43081488195001) by changing a digit.

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 242 ways as a sum of consecutive naturals, for example, 590157372501 + ... + 590157372573.

Almost surely, 2^{43081488195201} is an apocalyptic number.

43081488195201 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

43081488195201 is the 6563649-th square number.

43081488195201 is the 3281825-th centered octagonal number.

It is an amenable number.

43081488195201 is a deficient number, since it is larger than the sum of its proper divisors (27250450153146).

43081488195201 is an equidigital number, since it uses as much as digits as its factorization.

43081488195201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 43081488195201 in words is "forty-three trillion, eighty-one billion, four hundred eighty-eight million, one hundred ninety-five thousand, two hundred one".