98493219140625 has 243 divisors, whose sum is σ = 182842856091441. Its totient is φ = 51090682500000.

The previous prime is 98493219140587. The next prime is 98493219140683. The reversal of 98493219140625 is 52604191239489.

The square root of 98493219140625 is 9924375.

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

98493219140625 is a `hidden beast` number, since 9 + 8 + 4 + 9 + 3 + 219 + 1 + 406 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 70027323542289 + 28465895598336 = 8368233^2 + 5335344^2 .

It is not a de Polignac number, because 98493219140625 - 2⁷ = 98493219140497 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 1246749609336 + ... + 1246749609414.

Almost surely, 2^{98493219140625} is an apocalyptic number.

98493219140625 is the 9924375-th square number.

98493219140625 is the 4962188-th centered octagonal number.

It is an amenable number.

98493219140625 is a deficient number, since it is larger than the sum of its proper divisors (84349636950816).

98493219140625 is an frugal number, since it uses more digits than its factorization.

98493219140625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 98493219140625 in words is "ninety-eight trillion, four hundred ninety-three billion, two hundred nineteen million, one hundred forty thousand, six hundred twenty-five".