13826426432 has 168 divisors, whose sum is σ = 34544797560. Its totient is φ = 5442232320.

The previous prime is 13826426431. The next prime is 13826426447. The reversal of 13826426432 is 23462462831.

It can be written as a sum of positive squares in 4 ways, for example, as 2313994816 + 11512431616 = 48104^2 + 107296^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 13826426432.

It is not an unprimeable number, because it can be changed into a prime (13826426431) 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 23 ways as a sum of consecutive naturals, for example, 9335132 + ... + 9336612.

It is an arithmetic number, because the mean of its divisors is an integer number (205623795).

Almost surely, 2^13826426432 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 13826426432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17272398780).

13826426432 is an abundant number, since it is smaller than the sum of its proper divisors (20718371128).

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

13826426432 is a wasteful number, since it uses less digits than its factorization.

13826426432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1749 (or 1732 counting only the distinct ones).

The product of its digits is 331776, while the sum is 41.

The spelling of 13826426432 in words is "thirteen billion, eight hundred twenty-six million, four hundred twenty-six thousand, four hundred thirty-two".