394564886816688 has 720 divisors, whose sum is σ = 1391037030833760. Its totient is φ = 106753828995072.

The previous prime is 394564886816657. The next prime is 394564886816741. The reversal of 394564886816688 is 886618688465493.

394564886816688 is a `hidden beast` number, since 3 + 9 + 4 + 5 + 6 + 488 + 68 + 1 + 6 + 68 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 394564886816598 and 394564886816607.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20303849020 + ... + 20303868452.

It is an arithmetic number, because the mean of its divisors is an integer number (1931995876158).

Almost surely, 2^{394564886816688} is an apocalyptic number.

394564886816688 is a gapful number since it is divisible by the number (38) 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 394564886816688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695518515416880).

394564886816688 is an abundant number, since it is smaller than the sum of its proper divisors (996472144017072).

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

394564886816688 is a wasteful number, since it uses less digits than its factorization.

394564886816688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22159 (or 22121 counting only the distinct ones).

The product of its digits is 91729428480, while the sum is 90.

The spelling of 394564886816688 in words is "three hundred ninety-four trillion, five hundred sixty-four billion, eight hundred eighty-six million, eight hundred sixteen thousand, six hundred eighty-eight".