1005113285344 has 24 divisors (see below), whose sum is σ = 2261504892528. Its totient is φ = 430762836480.

The previous prime is 1005113285269. The next prime is 1005113285357. The reversal of 1005113285344 is 4435823115001.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 2243556217 + ... + 2243556664.

It is an arithmetic number, because the mean of its divisors is an integer number (94229370522).

Almost surely, 2^{1005113285344} is an apocalyptic number.

1005113285344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1005113285344 is an abundant number, since it is smaller than the sum of its proper divisors (1256391607184).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1005113285344 is an equidigital number, since it uses as much as digits as its factorization.

1005113285344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4487112898 (or 4487112890 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 37.

The spelling of 1005113285344 in words is "one trillion, five billion, one hundred thirteen million, two hundred eighty-five thousand, three hundred forty-four".