98917169121 has 27 divisors (see below), whose sum is σ = 146507535993. Its totient is φ = 64311209280.

The previous prime is 98917169101. The next prime is 98917169123. The reversal of 98917169121 is 12196171989.

The square root of 98917169121 is 314511.

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 34825158225 + 64092010896 = 186615^2 + 253164^2 .

It is not a de Polignac number, because 98917169121 - 2⁷ = 98917168993 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (98917169123) 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, 38683575 + ... + 38686131.

Almost surely, 2^98917169121 is an apocalyptic number.

98917169121 is the 314511-st square number.

98917169121 is the 157256-th centered octagonal number.

It is an amenable number.

98917169121 is a deficient number, since it is larger than the sum of its proper divisors (47590366872).

98917169121 is an frugal number, since it uses more digits than its factorization.

98917169121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5202 (or 2601 counting only the distinct ones).

The product of its digits is 489888, while the sum is 54.

The spelling of 98917169121 in words is "ninety-eight billion, nine hundred seventeen million, one hundred sixty-nine thousand, one hundred twenty-one".