394914210084 has 243 divisors, whose sum is σ = 1088879468313. Its totient is φ = 120657024000.

The previous prime is 394914210079. The next prime is 394914210167. The reversal of 394914210084 is 480012419493.

The square root of 394914210084 is 628422.

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

394914210084 is a `hidden beast` number, since 39 + 491 + 42 + 10 + 0 + 84 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 93434148900 + 301480061184 = 305670^2 + 549072^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3910041634 + ... + 3910041734.

Almost surely, 2^394914210084 is an apocalyptic number.

394914210084 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

394914210084 is the 628422-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 394914210084

394914210084 is an abundant number, since it is smaller than the sum of its proper divisors (693965258229).

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

394914210084 is a wasteful number, since it uses less digits than its factorization.

394914210084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 394914210084 in words is "three hundred ninety-four billion, nine hundred fourteen million, two hundred ten thousand, eighty-four".