394736462105856 has 288 divisors, whose sum is σ = 1188988653283200. Its totient is φ = 115426486812672.

The previous prime is 394736462105803. The next prime is 394736462105861. The reversal of 394736462105856 is 658501264637493.

It is a super-3 number, since 3×394736462105856³ (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3459370 + ... + 28309718.

It is an arithmetic number, because the mean of its divisors is an integer number (4128432823900).

It is a 1-persistent number, because it is pandigital, but 2⋅394736462105856 = 789472924211712 is not.

Almost surely, 2^{394736462105856} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 394736462105856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594494326641600).

394736462105856 is an abundant number, since it is smaller than the sum of its proper divisors (794252191177344).

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

394736462105856 is a wasteful number, since it uses less digits than its factorization.

394736462105856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24850461 (or 24850447 counting only the distinct ones).

The product of its (nonzero) digits is 783820800, while the sum is 69.

The spelling of 394736462105856 in words is "three hundred ninety-four trillion, seven hundred thirty-six billion, four hundred sixty-two million, one hundred five thousand, eight hundred fifty-six".