444455555625 has 75 divisors (see below), whose sum is σ = 829939250833. Its totient is φ = 236962962000.

The previous prime is 444455555611. The next prime is 444455555627. The reversal of 444455555625 is 526555554444.

The square root of 444455555625 is 666675.

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

444455555625 is a `hidden beast` number, since 4 + 4 + 4 + 4 + 5 + 5 + 5 + 5 + 5 + 625 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 34845315561 + 409610240064 = 186669^2 + 640008^2 .

It is a tau number, because it is divible by the number of its divisors (75).

It is not a de Polignac number, because 444455555625 - 2¹³ = 444455547433 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (444455555627) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 150000394 + ... + 150003356.

Almost surely, 2^444455555625 is an apocalyptic number.

444455555625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

444455555625 is the 666675-th square number.

444455555625 is the 333338-th centered octagonal number.

It is an amenable number.

444455555625 is a deficient number, since it is larger than the sum of its proper divisors (385483695208).

444455555625 is an frugal number, since it uses more digits than its factorization.

444455555625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5958 (or 2971 counting only the distinct ones).

The product of its digits is 48000000, while the sum is 54.

The spelling of 444455555625 in words is "four hundred forty-four billion, four hundred fifty-five million, five hundred fifty-five thousand, six hundred twenty-five".