10198397541049 has 27 divisors (see below), whose sum is σ = 10488697812463. Its totient is φ = 9916076792384.

The previous prime is 10198397541047. The next prime is 10198397541097. The reversal of 10198397541049 is 94014579389101.

The square root of 10198397541049 is 3193493.

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., 179703927225 + 10018693613824 = 423915^2 + 3165232^2 .

It is not a de Polignac number, because 10198397541049 - 2¹ = 10198397541047 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10198397541041) 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, 21291017592 + ... + 21291018070.

Almost surely, 2^{10198397541049} is an apocalyptic number.

10198397541049 is the 3193493-rd square number.

10198397541049 is the 1596747-th centered octagonal number.

It is an amenable number.

10198397541049 is a deficient number, since it is larger than the sum of its proper divisors (290300271414).

10198397541049 is an frugal number, since it uses more digits than its factorization.

10198397541049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1302 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 61.

The spelling of 10198397541049 in words is "ten trillion, one hundred ninety-eight billion, three hundred ninety-seven million, five hundred forty-one thousand, forty-nine".