385660872256 has 63 divisors (see below), whose sum is σ = 841312113537. Its totient is φ = 175275555840.

The previous prime is 385660872197. The next prime is 385660872277. The reversal of 385660872256 is 652278066583.

The square root of 385660872256 is 621016.

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., 385442305600 + 218566656 = 620840^2 + 14784^2 .

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 385660872256.

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 8 ways as a sum of consecutive naturals, for example, 54645880 + ... + 54652936.

Almost surely, 2^385660872256 is an apocalyptic number.

385660872256 is the 621016-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 385660872256

385660872256 is an abundant number, since it is smaller than the sum of its proper divisors (455651241281).

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

385660872256 is an frugal number, since it uses more digits than its factorization.

385660872256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14148 (or 7070 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 58.

The spelling of 385660872256 in words is "three hundred eighty-five billion, six hundred sixty million, eight hundred seventy-two thousand, two hundred fifty-six".