444957036601 has 27 divisors (see below), whose sum is σ = 569001302373. Its totient is φ = 346679745720.

The previous prime is 444957036569. The next prime is 444957036607. The reversal of 444957036601 is 106630759444.

The square root of 444957036601 is 667051.

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

It is not a de Polignac number, because 444957036601 - 2⁵ = 444957036569 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (444957036607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 51358596 + ... + 51367258.

Almost surely, 2^444957036601 is an apocalyptic number.

444957036601 is the 667051-st square number.

444957036601 is the 333526-th centered octagonal number.

It is an amenable number.

444957036601 is a deficient number, since it is larger than the sum of its proper divisors (124044265772).

444957036601 is an frugal number, since it uses more digits than its factorization.

444957036601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17362 (or 8681 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 49.

Multiplying 444957036601 by its sum of digits (49), we get a square (21802894793449 = 4669357²).

444957036601 divided by its sum of digits (49) gives a square (9080755849 = 95293²).

The spelling of 444957036601 in words is "four hundred forty-four billion, nine hundred fifty-seven million, thirty-six thousand, six hundred one".