98492028219225 has 27 divisors (see below), whose sum is σ = 176410432732989. Its totient is φ = 52529002322400.

The previous prime is 98492028219163. The next prime is 98492028219239. The reversal of 98492028219225 is 52291282029489.

The square root of 98492028219225 is 9924315.

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

98492028219225 is a `hidden beast` number, since 9 + 84 + 92 + 0 + 282 + 192 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 35736352484121 + 62755675735104 = 5977989^2 + 7921848^2 .

It is not a de Polignac number, because 98492028219225 - 2¹⁹ = 98492027694937 is a prime.

It is a super-2 number, since 2×98492028219225² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 148533915 + ... + 149195535.

Almost surely, 2^{98492028219225} is an apocalyptic number.

98492028219225 is the 9924315-th square number.

98492028219225 is the 4962158-th centered octagonal number.

It is an amenable number.

98492028219225 is a deficient number, since it is larger than the sum of its proper divisors (77918404513764).

98492028219225 is an frugal number, since it uses more digits than its factorization.

98492028219225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1323258 (or 661629 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 98492028219225 in words is "ninety-eight trillion, four hundred ninety-two billion, twenty-eight million, two hundred nineteen thousand, two hundred twenty-five".