8385171152656 has 45 divisors (see below), whose sum is σ = 16296897721503. Its totient is φ = 4179560645760.

The previous prime is 8385171152639. The next prime is 8385171152669. The reversal of 8385171152656 is 6562511715838.

The square root of 8385171152656 is 2895716.

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

It can be written as a sum of positive squares in 4 ways, for example, as 6167692778256 + 2217478374400 = 2483484^2 + 1489120^2 .

It is a super-2 number, since 2×8385171152656² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 8385171152656.

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, 4505733166 + ... + 4505735026.

Almost surely, 2^{8385171152656} is an apocalyptic number.

8385171152656 is the 2895716-th square number.

It is an amenable number.

8385171152656 is a deficient number, since it is larger than the sum of its proper divisors (7911726568847).

8385171152656 is an frugal number, since it uses more digits than its factorization.

8385171152656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4508 (or 2252 counting only the distinct ones).

The product of its digits is 12096000, while the sum is 58.

The spelling of 8385171152656 in words is "eight trillion, three hundred eighty-five billion, one hundred seventy-one million, one hundred fifty-two thousand, six hundred fifty-six".