395618783068224 has 63 divisors (see below), whose sum is σ = 1133971178775357. Its totient is φ = 131872768568064.

The previous prime is 395618783068181. The next prime is 395618783068259. The reversal of 395618783068224 is 422860387816593.

The square root of 395618783068224 is 19890168.

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

395618783068224 is a `hidden beast` number, since 3 + 9 + 561 + 8 + 7 + 8 + 30 + 6 + 8 + 2 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 380638539201600 + 14980243866624 = 19509960^2 + 3870432^2 .

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 8 ways as a sum of consecutive naturals, for example, 476949654 + ... + 477778410.

It is a 1-persistent number, because it is pandigital, but 2⋅395618783068224 = 791237566136448 is not.

Almost surely, 2^{395618783068224} is an apocalyptic number.

395618783068224 is the 19890168-th square number.

It is an amenable number.

395618783068224 is an abundant number, since it is smaller than the sum of its proper divisors (738352395707133).

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

395618783068224 is an frugal number, since it uses more digits than its factorization.

395618783068224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1657532 (or 828762 counting only the distinct ones).

The product of its (nonzero) digits is 836075520, while the sum is 72.

The spelling of 395618783068224 in words is "three hundred ninety-five trillion, six hundred eighteen billion, seven hundred eighty-three million, sixty-eight thousand, two hundred twenty-four".