395893081956564 has 240 divisors, whose sum is σ = 1075548326307840. Its totient is φ = 126845764231680.

The previous prime is 395893081956539. The next prime is 395893081956577. The reversal of 395893081956564 is 465659180398593.

395893081956564 is a `hidden beast` number, since 3 + 9 + 5 + 8 + 9 + 30 + 8 + 19 + 5 + 6 + 564 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1794842917 + ... + 1795063475.

It is an arithmetic number, because the mean of its divisors is an integer number (4481451359616).

Almost surely, 2^{395893081956564} 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 395893081956564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537774163153920).

395893081956564 is an abundant number, since it is smaller than the sum of its proper divisors (679655244351276).

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

395893081956564 is a wasteful number, since it uses less digits than its factorization.

395893081956564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221812 (or 221801 counting only the distinct ones).

The product of its (nonzero) digits is 7558272000, while the sum is 81.

The spelling of 395893081956564 in words is "three hundred ninety-five trillion, eight hundred ninety-three billion, eighty-one million, nine hundred fifty-six thousand, five hundred sixty-four".