13144622560 has 96 divisors (see below), whose sum is σ = 32738428800. Its totient is φ = 4973529600.

The previous prime is 13144622531. The next prime is 13144622597. The reversal of 13144622560 is 6522644131.

13144622560 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 2×13144622560² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 2243635 + ... + 2249485.

It is an arithmetic number, because the mean of its divisors is an integer number (341025300).

Almost surely, 2^13144622560 is an apocalyptic number.

13144622560 is a gapful number since it is divisible by the number (10) 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 13144622560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16369214400).

13144622560 is an abundant number, since it is smaller than the sum of its proper divisors (19593806240).

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

13144622560 is a wasteful number, since it uses less digits than its factorization.

13144622560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6624 (or 6616 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The spelling of 13144622560 in words is "thirteen billion, one hundred forty-four million, six hundred twenty-two thousand, five hundred sixty".