395976646912 has 648 divisors, whose sum is σ = 1081622989440. Its totient is φ = 141547929600.

The previous prime is 395976646867. The next prime is 395976646957. The reversal of 395976646912 is 219646679593.

It is an interprime number because it is at equal distance from previous prime (395976646867) and next prime (395976646957).

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 71 ways as a sum of consecutive naturals, for example, 4449175764 + ... + 4449175852.

It is an arithmetic number, because the mean of its divisors is an integer number (1669171280).

Almost surely, 2^395976646912 is an apocalyptic number.

395976646912 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 395976646912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540811494720).

395976646912 is an abundant number, since it is smaller than the sum of its proper divisors (685646342528).

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

395976646912 is a wasteful number, since it uses less digits than its factorization.

395976646912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 197 counting only the distinct ones).

The product of its digits is 132269760, while the sum is 67.

The spelling of 395976646912 in words is "three hundred ninety-five billion, nine hundred seventy-six million, six hundred forty-six thousand, nine hundred twelve".