395162077571856 has 405 divisors, whose sum is σ = 1301567419492821. Its totient is φ = 111592888856064.

The previous prime is 395162077571801. The next prime is 395162077571897. The reversal of 395162077571856 is 658175770261593.

The square root of 395162077571856 is 19878684.

It is a perfect power (a square), and thus also a powerful number.

395162077571856 is a `hidden beast` number, since 3 + 9 + 516 + 2 + 0 + 7 + 7 + 57 + 1 + 8 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 75879500061456 + 319282577510400 = 8710884^2 + 17868480^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 148613040255 + ... + 148613042913.

Almost surely, 2^{395162077571856} is an apocalyptic number.

395162077571856 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

395162077571856 is the 19878684-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 395162077571856

395162077571856 is an abundant number, since it is smaller than the sum of its proper divisors (906405341920965).

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

395162077571856 is an frugal number, since it uses more digits than its factorization.

395162077571856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5524 (or 2760 counting only the distinct ones).

The product of its (nonzero) digits is 666792000, while the sum is 72.

The spelling of 395162077571856 in words is "three hundred ninety-five trillion, one hundred sixty-two billion, seventy-seven million, five hundred seventy-one thousand, eight hundred fifty-six".