43198111165729 has 81 divisors (see below), whose sum is σ = 49527249775731. Its totient is φ = 37659002303520.

The previous prime is 43198111165711. The next prime is 43198111165763. The reversal of 43198111165729 is 92756111189134.

The square root of 43198111165729 is 6572527.

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., 6390253131025 + 36807858034704 = 2527895^2 + 6066948^2 .

It is not a de Polignac number, because 43198111165729 - 2²⁷ = 43197976948001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (43198111165229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 124490233734 + ... + 124490234080.

Almost surely, 2^{43198111165729} is an apocalyptic number.

43198111165729 is the 6572527-th square number.

43198111165729 is the 3286264-th centered octagonal number.

It is an amenable number.

43198111165729 is a deficient number, since it is larger than the sum of its proper divisors (6329138610002).

43198111165729 is an frugal number, since it uses more digits than its factorization.

43198111165729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 438 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 58.

The spelling of 43198111165729 in words is "forty-three trillion, one hundred ninety-eight billion, one hundred eleven million, one hundred sixty-five thousand, seven hundred twenty-nine".