363272603841 has 81 divisors (see below), whose sum is σ = 634438257921. Its totient is φ = 207389063448.

The previous prime is 363272603833. The next prime is 363272603857. The reversal of 363272603841 is 148306272363.

The square root of 363272603841 is 602721.

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

363272603841 is a `hidden beast` number, since 3 + 6 + 3 + 2 + 7 + 260 + 384 + 1 = 666.

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 363272603841 - 2³ = 363272603833 is a prime.

It is not an unprimeable number, because it can be changed into a prime (363272603801) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 341742276 + ... + 341743338.

Almost surely, 2^363272603841 is an apocalyptic number.

363272603841 is the 602721-st square number.

363272603841 is the 301361-st centered octagonal number.

It is an amenable number.

363272603841 is a deficient number, since it is larger than the sum of its proper divisors (271165654080).

363272603841 is an frugal number, since it uses more digits than its factorization.

363272603841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2164 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 363272603841 in words is "three hundred sixty-three billion, two hundred seventy-two million, six hundred three thousand, eight hundred forty-one".