394845808896 has 1296 divisors, whose sum is σ = 1529383984128. Its totient is φ = 98761420800.

The previous prime is 394845808873. The next prime is 394845808963. The reversal of 394845808896 is 698808548493.

394845808896 is a `hidden beast` number, since 3 + 9 + 4 + 8 + 458 + 0 + 88 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 5561208541 + ... + 5561208611.

Almost surely, 2^394845808896 is an apocalyptic number.

394845808896 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 394845808896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764691992064).

394845808896 is an abundant number, since it is smaller than the sum of its proper divisors (1134538175232).

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

394845808896 is an frugal number, since it uses more digits than its factorization.

394845808896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 477757440, while the sum is 72.

The spelling of 394845808896 in words is "three hundred ninety-four billion, eight hundred forty-five million, eight hundred eight thousand, eight hundred ninety-six".