13026941650944 has 864 divisors, whose sum is σ = 42287471815680. Its totient is φ = 3857625907200.

The previous prime is 13026941650907. The next prime is 13026941650969. The reversal of 13026941650944 is 44905614962031.

13026941650944 is a `hidden beast` number, since 1 + 3 + 0 + 2 + 6 + 94 + 1 + 6 + 509 + 44 = 666.

It is a super-2 number, since 2×13026941650944² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 30224922409 + ... + 30224922839.

It is an arithmetic number, because the mean of its divisors is an integer number (48943833120).

Almost surely, 2^{13026941650944} 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 13026941650944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21143735907840).

13026941650944 is an abundant number, since it is smaller than the sum of its proper divisors (29260530164736).

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

13026941650944 is a wasteful number, since it uses less digits than its factorization.

13026941650944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 13026941650944 in words is "thirteen trillion, twenty-six billion, nine hundred forty-one million, six hundred fifty thousand, nine hundred forty-four".