44901055680625 has 45 divisors (see below), whose sum is σ = 59221053522477. Its totient is φ = 34027861482000.

The previous prime is 44901055680601. The next prime is 44901055680647. The reversal of 44901055680625 is 52608655010944.

It is a happy number.

The square root of 44901055680625 is 6700825.

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

44901055680625 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 2 ways, for example, as 3520242765361 + 41380812915264 = 1876231^2 + 6432792^2 .

It is not a de Polignac number, because 44901055680625 - 2³³ = 44892465746033 is a prime.

It is a super-2 number, since 2×44901055680625² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3182884822 + ... + 3182898928.

Almost surely, 2^{44901055680625} is an apocalyptic number.

44901055680625 is the 6700825-th square number.

44901055680625 is the 3350413-rd centered octagonal number.

It is an amenable number.

44901055680625 is a deficient number, since it is larger than the sum of its proper divisors (14319997841852).

44901055680625 is an frugal number, since it uses more digits than its factorization.

44901055680625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28272 (or 14131 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 55.

The spelling of 44901055680625 in words is "forty-four trillion, nine hundred one billion, fifty-five million, six hundred eighty thousand, six hundred twenty-five".