98112406441 has 27 divisors (see below), whose sum is σ = 118278665271. Its totient is φ = 81143851824.

The previous prime is 98112406433. The next prime is 98112406477. The reversal of 98112406441 is 14460421189.

It is a happy number.

The square root of 98112406441 is 313229.

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., 51447766041 + 46664640400 = 226821^2 + 216020^2 .

It is not a de Polignac number, because 98112406441 - 2³ = 98112406433 is a prime.

It is a super-3 number, since 3×98112406441³ (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 98112406394 and 98112406403.

It is not an unprimeable number, because it can be changed into a prime (98112406411) 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, 63584716 + ... + 63586258.

Almost surely, 2^98112406441 is an apocalyptic number.

98112406441 is the 313229-th square number.

98112406441 is the 156615-th centered octagonal number.

It is an amenable number.

98112406441 is a deficient number, since it is larger than the sum of its proper divisors (20166258830).

98112406441 is an frugal number, since it uses more digits than its factorization.

98112406441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3158 (or 1579 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The spelling of 98112406441 in words is "ninety-eight billion, one hundred twelve million, four hundred six thousand, four hundred forty-one".