684168851025 has 189 divisors, whose sum is σ = 1400632786273. Its totient is φ = 331122686400.

The previous prime is 684168851017. The next prime is 684168851117. The reversal of 684168851025 is 520158861486.

The square root of 684168851025 is 827145.

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

684168851025 is a `hidden beast` number, since 6 + 8 + 41 + 6 + 88 + 510 + 2 + 5 = 666.

684168851025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 235225970001 + 448942881024 = 485001^2 + 670032^2 .

It is not a de Polignac number, because 684168851025 - 2³ = 684168851017 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 1228310047 + ... + 1228310603.

Almost surely, 2^684168851025 is an apocalyptic number.

684168851025 is the 827145-th square number.

684168851025 is the 413573-rd centered octagonal number.

It is an amenable number.

684168851025 is an abundant number, since it is smaller than the sum of its proper divisors (716463935248).

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

684168851025 is an frugal number, since it uses more digits than its factorization.

684168851025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 54.

The spelling of 684168851025 in words is "six hundred eighty-four billion, one hundred sixty-eight million, eight hundred fifty-one thousand, twenty-five".