394168415838912 has 560 divisors, whose sum is σ = 1416992248218624. Its totient is φ = 106700219136000.

The previous prime is 394168415838853. The next prime is 394168415838919. The reversal of 394168415838912 is 219838514861493.

394168415838912 is a `hidden beast` number, since 3 + 9 + 4 + 1 + 6 + 84 + 158 + 389 + 12 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (394168415838919) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14404587 + ... + 31556757.

Almost surely, 2^{394168415838912} is an apocalyptic number.

394168415838912 is a gapful number since it is divisible by the number (32) 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 394168415838912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708496124109312).

394168415838912 is an abundant number, since it is smaller than the sum of its proper divisors (1022823832379712).

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

394168415838912 is a wasteful number, since it uses less digits than its factorization.

394168415838912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17152250 (or 17152231 counting only the distinct ones).

The product of its digits is 358318080, while the sum is 72.

The spelling of 394168415838912 in words is "three hundred ninety-four trillion, one hundred sixty-eight billion, four hundred fifteen million, eight hundred thirty-eight thousand, nine hundred twelve".