444413450226465 has 40 divisors (see below), whose sum is σ = 818183401085160. Its totient is φ = 230614547136768.

The previous prime is 444413450226373. The next prime is 444413450226593. The reversal of 444413450226465 is 564622054314444.

It is a happy number.

444413450226465 is a `hidden beast` number, since 4 + 4 + 4 + 4 + 13 + 4 + 502 + 2 + 64 + 65 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 208381725897489 + 236031724328976 = 14435433^2 + 15363324^2 .

It is not a de Polignac number, because 444413450226465 - 2⁸ = 444413450226209 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14828595300 + ... + 14828625269.

It is an arithmetic number, because the mean of its divisors is an integer number (20454585027129).

Almost surely, 2^{444413450226465} is an apocalyptic number.

444413450226465 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

444413450226465 is a deficient number, since it is larger than the sum of its proper divisors (373769950858695).

444413450226465 is a wasteful number, since it uses less digits than its factorization.

444413450226465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29657220623 (or 29657220614 counting only the distinct ones).

The product of its (nonzero) digits is 44236800, while the sum is 54.

The spelling of 444413450226465 in words is "four hundred forty-four trillion, four hundred thirteen billion, four hundred fifty million, two hundred twenty-six thousand, four hundred sixty-five".