44852688756225 has 567 divisors, whose sum is σ = 102651484495833. Its totient is φ = 19372846308480.

The previous prime is 44852688756217. The next prime is 44852688756299. The reversal of 44852688756225 is 52265788625844.

The square root of 44852688756225 is 6697215.

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

44852688756225 is a `hidden beast` number, since 4 + 4 + 8 + 52 + 6 + 8 + 8 + 7 + 562 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 431850065409 + 44420838690816 = 657153^2 + 6664896^2 .

It is a tau number, because it is divible by the number of its divisors (567).

It is not a de Polignac number, because 44852688756225 - 2³ = 44852688756217 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 566 ways as a sum of consecutive naturals, for example, 120248495139 + ... + 120248495511.

Almost surely, 2^{44852688756225} is an apocalyptic number.

44852688756225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

44852688756225 is the 6697215-th square number.

44852688756225 is the 3348608-th centered octagonal number.

It is an amenable number.

44852688756225 is an abundant number, since it is smaller than the sum of its proper divisors (57798795739608).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

44852688756225 is an frugal number, since it uses more digits than its factorization.

44852688756225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826 (or 407 counting only the distinct ones).

The product of its digits is 2064384000, while the sum is 72.

The spelling of 44852688756225 in words is "forty-four trillion, eight hundred fifty-two billion, six hundred eighty-eight million, seven hundred fifty-six thousand, two hundred twenty-five".