385766452201 has 9 divisors (see below), whose sum is σ = 417732179781. Its totient is φ = 356084656512.

The previous prime is 385766452187. The next prime is 385766452229. The reversal of 385766452201 is 102254667583.

The square root of 385766452201 is 621101.

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 15153363801 + 370613088400 = 123099^2 + 608780^2 .

It is not a de Polignac number, because 385766452201 - 2⁷ = 385766452073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (385766452231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8050425 + ... + 8098201.

Almost surely, 2^385766452201 is an apocalyptic number.

385766452201 is the 621101-st square number.

385766452201 is the 310551-st centered octagonal number.

It is an amenable number.

385766452201 is a deficient number, since it is larger than the sum of its proper divisors (31965727580).

385766452201 is an frugal number, since it uses more digits than its factorization.

385766452201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95580 (or 47790 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 49.

Multiplying 385766452201 by its sum of digits (49), we get a square (18902556157849 = 4347707²).

The spelling of 385766452201 in words is "three hundred eighty-five billion, seven hundred sixty-six million, four hundred fifty-two thousand, two hundred one".