98218822912681 has 9 divisors (see below), whose sum is σ = 104336437222821. Its totient is φ = 92441086525632.

The previous prime is 98218822912663. The next prime is 98218822912753. The reversal of 98218822912681 is 18621922881289.

The square root of 98218822912681 is 9910541.

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

It can be written as a sum of positive squares in 4 ways, for example, as 37298612493081 + 60920210419600 = 6107259^2 + 7805140^2 .

It is not a de Polignac number, because 98218822912681 - 2²³ = 98218814524073 is a prime.

It is a super-2 number, since 2×98218822912681² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (98218822912601) 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, 168187711 + ... + 168770683.

Almost surely, 2^{98218822912681} is an apocalyptic number.

98218822912681 is the 9910541-st square number.

98218822912681 is the 4955271-st centered octagonal number.

It is an amenable number.

98218822912681 is a deficient number, since it is larger than the sum of its proper divisors (6117614310140).

98218822912681 is an frugal number, since it uses more digits than its factorization.

98218822912681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1165980 (or 582990 counting only the distinct ones).

The product of its digits is 31850496, while the sum is 67.

The spelling of 98218822912681 in words is "ninety-eight trillion, two hundred eighteen billion, eight hundred twenty-two million, nine hundred twelve thousand, six hundred eighty-one".