84795827656225 has 81 divisors (see below), whose sum is σ = 122856725206233. Its totient is φ = 57888683717760.

The previous prime is 84795827656157. The next prime is 84795827656307. The reversal of 84795827656225 is 52265672859748.

The square root of 84795827656225 is 9208465.

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

It can be written as a sum of positive squares in 4 ways, for example, as 11052320197009 + 73743507459216 = 3324503^2 + 8587404^2 .

It is not a de Polignac number, because 84795827656225 - 2⁷ = 84795827656097 is a prime.

It is a Duffinian number.

Its product of digits (4064256000) is a multiple of the sum of its prime divisors (1176).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 98944955997 + ... + 98944956853.

Almost surely, 2^{84795827656225} is an apocalyptic number.

84795827656225 is the 9208465-th square number.

84795827656225 is the 4604233-rd centered octagonal number.

It is an amenable number.

84795827656225 is a deficient number, since it is larger than the sum of its proper divisors (38060897550008).

84795827656225 is an frugal number, since it uses more digits than its factorization.

84795827656225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2352 (or 1176 counting only the distinct ones).

The product of its digits is 4064256000, while the sum is 76.

The spelling of 84795827656225 in words is "eighty-four trillion, seven hundred ninety-five billion, eight hundred twenty-seven million, six hundred fifty-six thousand, two hundred twenty-five".