10446438089025 has 81 divisors (see below), whose sum is σ = 19159807547907. Its totient is φ = 5440779439200.

The previous prime is 10446438088991. The next prime is 10446438089027. The reversal of 10446438089025 is 52098083464401.

The square root of 10446438089025 is 3232095.

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

10446438089025 is a `hidden beast` number, since 1 + 0 + 4 + 464 + 3 + 80 + 89 + 0 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3760717712049 + 6685720376976 = 1939257^2 + 2585676^2 .

It is not a de Polignac number, because 10446438089025 - 2¹⁷ = 10446437957953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10446438089027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2084698770 + ... + 2084703780.

Almost surely, 2^{10446438089025} is an apocalyptic number.

10446438089025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10446438089025 is the 3232095-th square number.

10446438089025 is the 1616048-th centered octagonal number.

It is an amenable number.

10446438089025 is a deficient number, since it is larger than the sum of its proper divisors (8713369458882).

10446438089025 is an frugal number, since it uses more digits than its factorization.

10446438089025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10124 (or 5062 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 10446438089025 in words is "ten trillion, four hundred forty-six billion, four hundred thirty-eight million, eighty-nine thousand, twenty-five".