98608772738025 has 297 divisors, whose sum is σ = 201872529285847. Its totient is φ = 47745966391200.

The previous prime is 98608772738017. The next prime is 98608772738029. The reversal of 98608772738025 is 52083727780689.

The square root of 98608772738025 is 9930195.

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

98608772738025 is a `hidden beast` number, since 9 + 8 + 608 + 7 + 7 + 2 + 7 + 3 + 8 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 35499158185689 + 63109614552336 = 5958117^2 + 7944156^2 .

It is a tau number, because it is divible by the number of its divisors (297).

It is not a de Polignac number, because 98608772738025 - 2³ = 98608772738017 is a prime.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (98608772738029) by changing a digit.

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 296 ways as a sum of consecutive naturals, for example, 132717055804 + ... + 132717056546.

Almost surely, 2^{98608772738025} is an apocalyptic number.

98608772738025 is the 9930195-th square number.

98608772738025 is the 4965098-th centered octagonal number.

It is an amenable number.

98608772738025 is an abundant number, since it is smaller than the sum of its proper divisors (103263756547822).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

98608772738025 is an frugal number, since it uses more digits than its factorization.

98608772738025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1548 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 568995840, while the sum is 72.

The spelling of 98608772738025 in words is "ninety-eight trillion, six hundred eight billion, seven hundred seventy-two million, seven hundred thirty-eight thousand, twenty-five".