395853905627136 has 360 divisors, whose sum is σ = 1299647369450430. Its totient is φ = 119955722895360.

The previous prime is 395853905627119. The next prime is 395853905627207. The reversal of 395853905627136 is 631726509358593.

395853905627136 is a `hidden beast` number, since 3 + 9 + 5 + 8 + 53 + 9 + 0 + 562 + 7 + 1 + 3 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 248402816640000 + 147451088987136 = 15760800^2 + 12142944^2 .

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 10211820 + ... + 29933076.

Almost surely, 2^{395853905627136} is an apocalyptic number.

395853905627136 is a gapful number since it is divisible by the number (36) 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 395853905627136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649823684725215).

395853905627136 is an abundant number, since it is smaller than the sum of its proper divisors (903793463823294).

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

395853905627136 is a wasteful number, since it uses less digits than its factorization.

395853905627136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19721313 (or 19721273 counting only the distinct ones).

The product of its (nonzero) digits is 1102248000, while the sum is 72.

The spelling of 395853905627136 in words is "three hundred ninety-five trillion, eight hundred fifty-three billion, nine hundred five million, six hundred twenty-seven thousand, one hundred thirty-six".