2198337017041 has 9 divisors (see below), whose sum is σ = 2416371838363. Its totient is φ = 1998473370520.

The previous prime is 2198337017039. The next prime is 2198337017047. The reversal of 2198337017041 is 1407107338912.

The square root of 2198337017041 is 1482679.

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., 2191818069441 + 6518947600 = 1480479^2 + 80740^2 .

It is not a de Polignac number, because 2198337017041 - 2¹ = 2198337017039 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2198337016982 and 2198337017000.

It is not an unprimeable number, because it can be changed into a prime (2198337017047) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 16242075 + ... + 16376863.

Almost surely, 2^{2198337017041} is an apocalyptic number.

2198337017041 is the 1482679-th square number.

2198337017041 is the 741340-th centered octagonal number.

It is an amenable number.

2198337017041 is a deficient number, since it is larger than the sum of its proper divisors (218034821322).

2198337017041 is an frugal number, since it uses more digits than its factorization.

2198337017041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269600 (or 134800 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 46.

The spelling of 2198337017041 in words is "two trillion, one hundred ninety-eight billion, three hundred thirty-seven million, seventeen thousand, forty-one".