8298634140225 has 729 divisors, whose sum is σ = 19034082293499. Its totient is φ = 3451350988800.

The previous prime is 8298634140193. The next prime is 8298634140317. The reversal of 8298634140225 is 5220414368928.

The square root of 8298634140225 is 2880735.

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

8298634140225 is a `hidden beast` number, since 8 + 298 + 6 + 341 + 4 + 0 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 6043735476801 + 2254898663424 = 2458401^2 + 1501632^2 .

It is not a de Polignac number, because 8298634140225 - 2⁵ = 8298634140193 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 728 ways as a sum of consecutive naturals, for example, 105046001736 + ... + 105046001814.

Almost surely, 2^{8298634140225} is an apocalyptic number.

8298634140225 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

8298634140225 is the 2880735-th square number.

8298634140225 is the 1440368-th centered octagonal number.

It is an amenable number.

8298634140225 is an abundant number, since it is smaller than the sum of its proper divisors (10735448153274).

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

8298634140225 is a wasteful number, since it uses less digits than its factorization.

8298634140225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 8298634140225 in words is "eight trillion, two hundred ninety-eight billion, six hundred thirty-four million, one hundred forty thousand, two hundred twenty-five".