13298218752 has 288 divisors, whose sum is σ = 45459606528. Its totient is φ = 3354329088.

The previous prime is 13298218741. The next prime is 13298218777. The reversal of 13298218752 is 25781289231.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1603288 + ... + 1611560.

It is an arithmetic number, because the mean of its divisors is an integer number (157845856).

Almost surely, 2^13298218752 is an apocalyptic number.

13298218752 is a gapful number since it is divisible by the number (12) 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 13298218752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22729803264).

13298218752 is an abundant number, since it is smaller than the sum of its proper divisors (32161387776).

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

13298218752 is a wasteful number, since it uses less digits than its factorization.

13298218752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8335 (or 8321 counting only the distinct ones).

The product of its digits is 483840, while the sum is 48.

The spelling of 13298218752 in words is "thirteen billion, two hundred ninety-eight million, two hundred eighteen thousand, seven hundred fifty-two".