394104349656576 has 960 divisors, whose sum is σ = 1367118386948160. Its totient is φ = 111345511956480.

The previous prime is 394104349656553. The next prime is 394104349656581. The reversal of 394104349656576 is 675656943401493.

394104349656576 is a `hidden beast` number, since 3 + 9 + 4 + 1 + 0 + 4 + 3 + 49 + 6 + 5 + 6 + 576 = 666.

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 95 ways as a sum of consecutive naturals, for example, 2129314950 + ... + 2129500026.

It is an arithmetic number, because the mean of its divisors is an integer number (1424081653071).

Almost surely, 2^{394104349656576} is an apocalyptic number.

394104349656576 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 394104349656576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683559193474080).

394104349656576 is an abundant number, since it is smaller than the sum of its proper divisors (973014037291584).

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

394104349656576 is a wasteful number, since it uses less digits than its factorization.

394104349656576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185192 (or 185153 counting only the distinct ones).

The product of its (nonzero) digits is 1763596800, while the sum is 72.

The spelling of 394104349656576 in words is "three hundred ninety-four trillion, one hundred four billion, three hundred forty-nine million, six hundred fifty-six thousand, five hundred seventy-six".