98181642082225 has 27 divisors (see below), whose sum is σ = 131831505166179. Its totient is φ = 72502890844800.

The previous prime is 98181642082213. The next prime is 98181642082309. The reversal of 98181642082225 is 52228024618189.

It is a happy number.

The square root of 98181642082225 is 9908665.

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

It can be written as a sum of positive squares in 13 ways, for example, as 88560578099569 + 9621063982656 = 9410663^2 + 3101784^2 .

It is not a de Polignac number, because 98181642082225 - 2¹¹ = 98181642080177 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 98181642082225.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 643987005 + ... + 644139445.

Almost surely, 2^{98181642082225} is an apocalyptic number.

98181642082225 is the 9908665-th square number.

98181642082225 is the 4954333-rd centered octagonal number.

It is an amenable number.

98181642082225 is a deficient number, since it is larger than the sum of its proper divisors (33649863083954).

98181642082225 is an frugal number, since it uses more digits than its factorization.

98181642082225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304918 (or 152459 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 58.

The spelling of 98181642082225 in words is "ninety-eight trillion, one hundred eighty-one billion, six hundred forty-two million, eighty-two thousand, two hundred twenty-five".