43488762349201 has 27 divisors (see below), whose sum is σ = 47752177755699. Its totient is φ = 39587864614272.

The previous prime is 43488762349111. The next prime is 43488762349211. The reversal of 43488762349201 is 10294326788434.

The square root of 43488762349201 is 6594601.

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

It can be written as a sum of positive squares in 13 ways, for example, as 17390559699601 + 26098202649600 = 4170199^2 + 5108640^2 .

It is not a de Polignac number, because 43488762349201 - 2¹³ = 43488762341009 is a prime.

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 43488762349201.

It is not an unprimeable number, because it can be changed into a prime (43488762349211) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6258272875 + ... + 6258279823.

It is an arithmetic number, because the mean of its divisors is an integer number (1768599176137).

Almost surely, 2^{43488762349201} is an apocalyptic number.

43488762349201 is the 6594601-st square number.

43488762349201 is the 3297301-st centered octagonal number.

It is an amenable number.

43488762349201 is a deficient number, since it is larger than the sum of its proper divisors (4263415406498).

43488762349201 is an frugal number, since it uses more digits than its factorization.

43488762349201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14070 (or 7035 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 61.

The spelling of 43488762349201 in words is "forty-three trillion, four hundred eighty-eight billion, seven hundred sixty-two million, three hundred forty-nine thousand, two hundred one".