442268164801 has 2 divisors, whose sum is σ = 442268164802. Its totient is φ = 442268164800.

The previous prime is 442268164787. The next prime is 442268164813. The reversal of 442268164801 is 108461862244.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 301906291600 + 140361873201 = 549460^2 + 374649^2 .

It is a cyclic number.

It is not a de Polignac number, because 442268164801 - 2¹⁷ = 442268033729 is a prime.

It is a super-2 number, since 2×442268164801² (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (442268164831) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 221134082400 + 221134082401.

It is an arithmetic number, because the mean of its divisors is an integer number (221134082401).

Almost surely, 2^442268164801 is an apocalyptic number.

It is an amenable number.

442268164801 is a deficient number, since it is larger than the sum of its proper divisors (1).

442268164801 is an equidigital number, since it uses as much as digits as its factorization.

442268164801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 589824, while the sum is 46.

The spelling of 442268164801 in words is "four hundred forty-two billion, two hundred sixty-eight million, one hundred sixty-four thousand, eight hundred one".