42446300625 has 135 divisors (see below), whose sum is σ = 79718421783. Its totient is φ = 21756240000.

The previous prime is 42446300569. The next prime is 42446300657. The reversal of 42446300625 is 52600364424.

The square root of 42446300625 is 206025.

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

42446300625 is a `hidden beast` number, since 4 + 24 + 4 + 6 + 3 + 0 + 0 + 625 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 42280818129 + 165482496 = 205623^2 + 12864^2 .

It is not a de Polignac number, because 42446300625 - 2¹¹ = 42446298577 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 42446300625.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 633526842 + ... + 633526908.

Almost surely, 2^42446300625 is an apocalyptic number.

42446300625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42446300625 is the 206025-th square number.

42446300625 is the 103013-rd centered octagonal number.

It is an amenable number.

42446300625 is a deficient number, since it is larger than the sum of its proper divisors (37272121158).

42446300625 is an frugal number, since it uses more digits than its factorization.

42446300625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Multiplying 42446300625 by its sum of digits (36), we get a square (1528066822500 = 1236150²).

The spelling of 42446300625 in words is "forty-two billion, four hundred forty-six million, three hundred thousand, six hundred twenty-five".