395818795008 has 960 divisors, whose sum is σ = 1469976788280. Its totient is φ = 101964054528.

The previous prime is 395818794997. The next prime is 395818795039. The reversal of 395818795008 is 800597818593.

395818795008 is a `hidden beast` number, since 3 + 9 + 58 + 1 + 8 + 79 + 500 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 9205088235 + ... + 9205088277.

Almost surely, 2^395818795008 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 395818795008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734988394140).

395818795008 is an abundant number, since it is smaller than the sum of its proper divisors (1074157993272).

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

395818795008 is an frugal number, since it uses more digits than its factorization.

395818795008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 63.

The spelling of 395818795008 in words is "three hundred ninety-five billion, eight hundred eighteen million, seven hundred ninety-five thousand, eight".