65446430625 has 105 divisors (see below), whose sum is σ = 122941078293. Its totient is φ = 34812666000.

The previous prime is 65446430597. The next prime is 65446430633. The reversal of 65446430625 is 52603464456.

It is a happy number.

The square root of 65446430625 is 255825.

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

65446430625 is a `hidden beast` number, since 6 + 544 + 6 + 43 + 0 + 62 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5131000161 + 60315430464 = 71631^2 + 245592^2 .

It is not a de Polignac number, because 65446430625 - 2⁵ = 65446430593 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 172681686 + ... + 172682064.

Almost surely, 2^65446430625 is an apocalyptic number.

65446430625 is the 255825-th square number.

65446430625 is the 127913-rd centered octagonal number.

It is an amenable number.

65446430625 is a deficient number, since it is larger than the sum of its proper divisors (57494647668).

65446430625 is an frugal number, since it uses more digits than its factorization.

65446430625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

The spelling of 65446430625 in words is "sixty-five billion, four hundred forty-six million, four hundred thirty thousand, six hundred twenty-five".