395292969664576 has 63 divisors (see below), whose sum is σ = 833271140745597. Its totient is φ = 186018948572160.

The previous prime is 395292969664519. The next prime is 395292969664591. The reversal of 395292969664576 is 675466969292593.

The square root of 395292969664576 is 19881976.

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

It can be written as a sum of positive squares in only one way, i.e., 307754042126400 + 87538927538176 = 17542920^2 + 9356224^2 .

It is a Duffinian number.

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, 2703875641 + ... + 2704021831.

Almost surely, 2^{395292969664576} is an apocalyptic number.

395292969664576 is the 19881976-th square number.

It is an amenable number.

395292969664576 is an abundant number, since it is smaller than the sum of its proper divisors (437978171081021).

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

395292969664576 is an frugal number, since it uses more digits than its factorization.

395292969664576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292428 (or 146210 counting only the distinct ones).

The product of its digits is 71425670400, while the sum is 88.

The spelling of 395292969664576 in words is "three hundred ninety-five trillion, two hundred ninety-two billion, nine hundred sixty-nine million, six hundred sixty-four thousand, five hundred seventy-six".