4712685201 has 45 divisors (see below), whose sum is σ = 7958316041. Its totient is φ = 2687196456.

The previous prime is 4712685179. The next prime is 4712685221. The reversal of 4712685201 is 1025862174.

The square root of 4712685201 is 68649.

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

4712685201 is a `hidden beast` number, since 4 + 7 + 126 + 8 + 520 + 1 = 666.

It is not a de Polignac number, because 4712685201 - 2⁵ = 4712685169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4712685221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 10091170 + ... + 10091636.

Almost surely, 2^4712685201 is an apocalyptic number.

4712685201 is the 68649-th square number.

4712685201 is the 34325-th centered octagonal number.

It is an amenable number.

4712685201 is a deficient number, since it is larger than the sum of its proper divisors (3245630840).

4712685201 is an frugal number, since it uses more digits than its factorization.

4712685201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The cubic root of 4712685201 is about 1676.5743215498.

Multiplying 4712685201 by its sum of digits (36), we get a square (169656667236 = 411894²).

The spelling of 4712685201 in words is "four billion, seven hundred twelve million, six hundred eighty-five thousand, two hundred one".