395201628344768 has 112 divisors (see below), whose sum is σ = 905855853227520. Its totient is φ = 167562141778944.

The previous prime is 395201628344767. The next prime is 395201628344797. The reversal of 395201628344768 is 867443826102593.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×395201628344768² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 395201628344698 and 395201628344707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395201628344767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42516563 + ... + 50971181.

It is a 1-persistent number, because it is pandigital, but 2⋅395201628344768 = 790403256689536 is not.

Almost surely, 2^{395201628344768} 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 395201628344768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452927926613760).

395201628344768 is an abundant number, since it is smaller than the sum of its proper divisors (510654224882752).

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

395201628344768 is a wasteful number, since it uses less digits than its factorization.

395201628344768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8455754 (or 8455744 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 68.

The spelling of 395201628344768 in words is "three hundred ninety-five trillion, two hundred one billion, six hundred twenty-eight million, three hundred forty-four thousand, seven hundred sixty-eight".