10948345344 has 160 divisors (see below), whose sum is σ = 32497518240. Its totient is φ = 3639361536.

The previous prime is 10948345327. The next prime is 10948345349. The reversal of 10948345344 is 44354384901.

10948345344 is a `hidden beast` number, since 109 + 4 + 8 + 3 + 4 + 534 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 10948345344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10948345349) by changing a digit.

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, 6316702 + ... + 6318434.

It is an arithmetic number, because the mean of its divisors is an integer number (203109489).

Almost surely, 2^10948345344 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 10948345344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16248759120).

10948345344 is an abundant number, since it is smaller than the sum of its proper divisors (21549172896).

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

10948345344 is an equidigital number, since it uses as much as digits as its factorization.

10948345344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2217 (or 2195 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

It can be divided in two parts, 1094 and 8345344, that added together give a palindrome (8346438).

The spelling of 10948345344 in words is "ten billion, nine hundred forty-eight million, three hundred forty-five thousand, three hundred forty-four".