10005644521223 has 24 divisors (see below), whose sum is σ = 10848756850560. Its totient is φ = 9223846919040.

The previous prime is 10005644521219. The next prime is 10005644521237. The reversal of 10005644521223 is 32212544650001.

It is not a de Polignac number, because 10005644521223 - 2² = 10005644521219 is a prime.

It is a super-2 number, since 2×10005644521223² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10005644521123) 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 23 ways as a sum of consecutive naturals, for example, 421438133 + ... + 421461873.

It is an arithmetic number, because the mean of its divisors is an integer number (452031535440).

Almost surely, 2^{10005644521223} is an apocalyptic number.

10005644521223 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10005644521223 is a deficient number, since it is larger than the sum of its proper divisors (843112329337).

10005644521223 is a wasteful number, since it uses less digits than its factorization.

10005644521223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26939 (or 26926 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

The spelling of 10005644521223 in words is "ten trillion, five billion, six hundred forty-four million, five hundred twenty-one thousand, two hundred twenty-three".