10435345344 has 168 divisors, whose sum is σ = 31313737728. Its totient is φ = 3445390080.

The previous prime is 10435345289. The next prime is 10435345369. The reversal of 10435345344 is 44354353401.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10435345299 and 10435345308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1660929 + ... + 1667199.

It is an arithmetic number, because the mean of its divisors is an integer number (186391296).

Almost surely, 2^10435345344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10435345344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15656868864).

10435345344 is an abundant number, since it is smaller than the sum of its proper divisors (20878392384).

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

10435345344 is an equidigital number, since it uses as much as digits as its factorization.

10435345344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6405 (or 6383 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 10435345344 its reverse (44354353401), we get a palindrome (54789698745).

The spelling of 10435345344 in words is "ten billion, four hundred thirty-five million, three hundred forty-five thousand, three hundred forty-four".