1005444223311 has 48 divisors (see below), whose sum is σ = 1525036222080. Its totient is φ = 588084974400.

The previous prime is 1005444223291. The next prime is 1005444223321. The reversal of 1005444223311 is 1133224445001.

It is not a de Polignac number, because 1005444223311 - 2⁵ = 1005444223279 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005444223321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24939376 + ... + 24979658.

It is an arithmetic number, because the mean of its divisors is an integer number (31771587960).

Almost surely, 2^{1005444223311} is an apocalyptic number.

1005444223311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1005444223311 is a deficient number, since it is larger than the sum of its proper divisors (519591998769).

1005444223311 is a wasteful number, since it uses less digits than its factorization.

1005444223311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42708 (or 42697 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 1005444223311 its reverse (1133224445001), we get a palindrome (2138668668312).

The spelling of 1005444223311 in words is "one trillion, five billion, four hundred forty-four million, two hundred twenty-three thousand, three hundred eleven".