98506557952209 has 135 divisors (see below), whose sum is σ = 167563557081921. Its totient is φ = 57625616885760.

The previous prime is 98506557952183. The next prime is 98506557952213. The reversal of 98506557952209 is 90225975560589.

The square root of 98506557952209 is 9925047.

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

98506557952209 is a `hidden beast` number, since 9 + 8 + 506 + 5 + 5 + 7 + 95 + 2 + 20 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 35195446130625 + 63311111821584 = 5932575^2 + 7956828^2 .

It is not a de Polignac number, because 98506557952209 - 2¹³ = 98506557944017 is a prime.

It is not an unprimeable number, because it can be changed into a prime (98506557952009) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 28494808209 + ... + 28494811665.

Almost surely, 2^{98506557952209} is an apocalyptic number.

98506557952209 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

98506557952209 is the 9925047-th square number.

98506557952209 is the 4962524-th centered octagonal number.

It is an amenable number.

98506557952209 is a deficient number, since it is larger than the sum of its proper divisors (69056999129712).

98506557952209 is an frugal number, since it uses more digits than its factorization.

98506557952209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7006 (or 3500 counting only the distinct ones).

The product of its (nonzero) digits is 612360000, while the sum is 72.

The spelling of 98506557952209 in words is "ninety-eight trillion, five hundred six billion, five hundred fifty-seven million, nine hundred fifty-two thousand, two hundred nine".