10531446073344 has 192 divisors, whose sum is σ = 35653334371200. Its totient is φ = 3008984481792.

The previous prime is 10531446073339. The next prime is 10531446073397. The reversal of 10531446073344 is 44337064413501.

It is a happy number.

10531446073344 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 1 + 4 + 4 + 607 + 3 + 34 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×10531446073344² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10531446073344.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13216917 + ... + 13991060.

It is an arithmetic number, because the mean of its divisors is an integer number (185694449850).

Almost surely, 2^{10531446073344} is an apocalyptic number.

10531446073344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10531446073344 is an abundant number, since it is smaller than the sum of its proper divisors (25121888297856).

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

10531446073344 is an equidigital number, since it uses as much as digits as its factorization.

10531446073344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27208015 (or 27207989 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 10531446073344 in words is "ten trillion, five hundred thirty-one billion, four hundred forty-six million, seventy-three thousand, three hundred forty-four".