98548009308225 has 135 divisors (see below), whose sum is σ = 189081546979897. Its totient is φ = 50739890080320.

The previous prime is 98548009308197. The next prime is 98548009308233. The reversal of 98548009308225 is 52280390084589.

The square root of 98548009308225 is 9927135.

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

98548009308225 is a `hidden beast` number, since 9 + 8 + 548 + 0 + 0 + 9 + 3 + 0 + 82 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1354595704641 + 97193413603584 = 1163871^2 + 9858672^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 98548009308225 - 2⁵ = 98548009308193 is a prime.

It is a super-2 number, since 2×98548009308225² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 12954907372 + ... + 12954914978.

Almost surely, 2^{98548009308225} is an apocalyptic number.

98548009308225 is the 9927135-th square number.

98548009308225 is the 4963568-th centered octagonal number.

It is an amenable number.

98548009308225 is a deficient number, since it is larger than the sum of its proper divisors (90533537671672).

98548009308225 is an frugal number, since it uses more digits than its factorization.

98548009308225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15294 (or 7644 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 63.

The spelling of 98548009308225 in words is "ninety-eight trillion, five hundred forty-eight billion, nine million, three hundred eight thousand, two hundred twenty-five".