395468365824 has 420 divisors, whose sum is σ = 1374453554364. Its totient is φ = 112981671936.

The previous prime is 395468365783. The next prime is 395468365837. The reversal of 395468365824 is 428563864593.

395468365824 is a `hidden beast` number, since 3 + 9 + 5 + 46 + 8 + 3 + 6 + 582 + 4 = 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 29 ways as a sum of consecutive naturals, for example, 32507967 + ... + 32520129.

Almost surely, 2^395468365824 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 395468365824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687226777182).

395468365824 is an abundant number, since it is smaller than the sum of its proper divisors (978985188540).

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

395468365824 is an equidigital number, since it uses as much as digits as its factorization.

395468365824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12215 (or 12175 counting only the distinct ones).

The product of its digits is 149299200, while the sum is 63.

The spelling of 395468365824 in words is "three hundred ninety-five billion, four hundred sixty-eight million, three hundred sixty-five thousand, eight hundred twenty-four".