395601803856 has 240 divisors, whose sum is σ = 1271305270144. Its totient is φ = 112493961216.

The previous prime is 395601803813. The next prime is 395601803873. The reversal of 395601803856 is 658308106593.

395601803856 is a `hidden beast` number, since 39 + 56 + 0 + 180 + 385 + 6 = 666.

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 47 ways as a sum of consecutive naturals, for example, 238744980 + ... + 238746636.

Almost surely, 2^395601803856 is an apocalyptic number.

395601803856 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 395601803856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635652635072).

395601803856 is an abundant number, since it is smaller than the sum of its proper divisors (875703466288).

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

395601803856 is a wasteful number, since it uses less digits than its factorization.

395601803856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2658 (or 2649 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 395601803856 in words is "three hundred ninety-five billion, six hundred one million, eight hundred three thousand, eight hundred fifty-six".