10661344512 has 288 divisors, whose sum is σ = 35383111680. Its totient is φ = 2774753280.

The previous prime is 10661344493. The next prime is 10661344517. The reversal of 10661344512 is 21544316601.

10661344512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10661344512² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10661344517) 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, 5520187 + ... + 5522117.

Almost surely, 2^10661344512 is an apocalyptic number.

10661344512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10661344512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17691555840).

10661344512 is an abundant number, since it is smaller than the sum of its proper divisors (24721767168).

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

10661344512 is a wasteful number, since it uses less digits than its factorization.

10661344512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2049 (or 2035 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 10661344512 in words is "ten billion, six hundred sixty-one million, three hundred forty-four thousand, five hundred twelve".