8084098995025 has 45 divisors (see below), whose sum is σ = 10641154241271. Its totient is φ = 6091480496160.

The previous prime is 8084098994963. The next prime is 8084098995151. The reversal of 8084098995025 is 5205998904808.

The square root of 8084098995025 is 2843255.

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

It can be written as a sum of positive squares in 7 ways, for example, as 8749170369 + 8075349824656 = 93537^2 + 2841716^2 .

It is not a de Polignac number, because 8084098995025 - 2⁹ = 8084098994513 is a prime.

It is a super-2 number, since 2×8084098995025² (a number of 27 digits) contains 22 as substring.

It is a Duffinian 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 44 ways as a sum of consecutive naturals, for example, 46728895839 + ... + 46728896011.

Almost surely, 2^{8084098995025} is an apocalyptic number.

8084098995025 is the 2843255-th square number.

8084098995025 is the 1421628-th centered octagonal number.

It is an amenable number.

8084098995025 is a deficient number, since it is larger than the sum of its proper divisors (2557055246246).

8084098995025 is an frugal number, since it uses more digits than its factorization.

8084098995025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 67.

The spelling of 8084098995025 in words is "eight trillion, eighty-four billion, ninety-eight million, nine hundred ninety-five thousand, twenty-five".