395520922712448 has 1024 divisors, whose sum is σ = 1368016971955200. Its totient is φ = 111365928124416.

The previous prime is 395520922712441. The next prime is 395520922712453. The reversal of 395520922712448 is 844217229025593.

It is a happy number.

395520922712448 is a `hidden beast` number, since 3 + 9 + 5 + 520 + 92 + 2 + 7 + 12 + 4 + 4 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395520922712441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 48691479715 + ... + 48691487837.

It is an arithmetic number, because the mean of its divisors is an integer number (1335954074175).

Almost surely, 2^{395520922712448} 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 395520922712448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684008485977600).

395520922712448 is an abundant number, since it is smaller than the sum of its proper divisors (972496049242752).

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

395520922712448 is a wasteful number, since it uses less digits than its factorization.

395520922712448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9936 (or 9918 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 395520922712448 in words is "three hundred ninety-five trillion, five hundred twenty billion, nine hundred twenty-two million, seven hundred twelve thousand, four hundred forty-eight".