1005444223201 has 32 divisors (see below), whose sum is σ = 1117536491520. Its totient is φ = 896937753600.

The previous prime is 1005444223183. The next prime is 1005444223237. The reversal of 1005444223201 is 1023224445001.

It is a cyclic number.

It is not a de Polignac number, because 1005444223201 - 2¹⁷ = 1005444092129 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1005444223201.

It is not an unprimeable number, because it can be changed into a prime (1005444223241) 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 31 ways as a sum of consecutive naturals, for example, 165393280 + ... + 165399358.

It is an arithmetic number, because the mean of its divisors is an integer number (34923015360).

Almost surely, 2^{1005444223201} is an apocalyptic number.

1005444223201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1005444223201 is a deficient number, since it is larger than the sum of its proper divisors (112092268319).

1005444223201 is a wasteful number, since it uses less digits than its factorization.

1005444223201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7177.

The product of its (nonzero) digits is 7680, while the sum is 28.

Adding to 1005444223201 its reverse (1023224445001), we get a palindrome (2028668668202).

The spelling of 1005444223201 in words is "one trillion, five billion, four hundred forty-four million, two hundred twenty-three thousand, two hundred one".