442366518965121 has 135 divisors (see below), whose sum is σ = 693364643565321. Its totient is φ = 271765617653376.

The previous prime is 442366518965113. The next prime is 442366518965123. The reversal of 442366518965121 is 121569815663244.

The square root of 442366518965121 is 21032511.

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

442366518965121 is a `hidden beast` number, since 4 + 4 + 2 + 3 + 6 + 6 + 518 + 96 + 5 + 1 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 77998130039025 + 364368388926096 = 8831655^2 + 19088436^2 .

It is not a de Polignac number, because 442366518965121 - 2³ = 442366518965113 is a prime.

Its product of digits (74649600) is a multiple of the sum of its prime divisors (512).

It is not an unprimeable number, because it can be changed into a prime (442366518965123) by changing a digit.

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 134 ways as a sum of consecutive naturals, for example, 967979253525 + ... + 967979253981.

Almost surely, 2^{442366518965121} is an apocalyptic number.

442366518965121 is the 21032511-st square number.

442366518965121 is the 10516256-th centered octagonal number.

It is an amenable number.

442366518965121 is a deficient number, since it is larger than the sum of its proper divisors (250998124600200).

442366518965121 is an frugal number, since it uses more digits than its factorization.

442366518965121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070 (or 512 counting only the distinct ones).

The product of its digits is 74649600, while the sum is 63.

The spelling of 442366518965121 in words is "four hundred forty-two trillion, three hundred sixty-six billion, five hundred eighteen million, nine hundred sixty-five thousand, one hundred twenty-one".