46645200625 has 45 divisors (see below), whose sum is σ = 59775068199. Its totient is φ = 36387468000.

The previous prime is 46645200611. The next prime is 46645200631. The reversal of 46645200625 is 52600254664.

The square root of 46645200625 is 215975.

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

46645200625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 7 ways, for example, as 25882696161 + 20762504464 = 160881^2 + 144092^2 .

It is not a de Polignac number, because 46645200625 - 2⁹ = 46645200113 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 286166794 + ... + 286166956.

Almost surely, 2^46645200625 is an apocalyptic number.

46645200625 is the 215975-th square number.

46645200625 is the 107988-th centered octagonal number.

It is an amenable number.

46645200625 is a deficient number, since it is larger than the sum of its proper divisors (13129867574).

46645200625 is an frugal number, since it uses more digits than its factorization.

46645200625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 40.

The spelling of 46645200625 in words is "forty-six billion, six hundred forty-five million, two hundred thousand, six hundred twenty-five".