13210803645468 has 384 divisors, whose sum is σ = 37748606515200. Its totient is φ = 3561855897600.

The previous prime is 13210803645467. The next prime is 13210803645491. The reversal of 13210803645468 is 86454630801231.

It is a super-2 number, since 2×13210803645468² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13210803645468.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13210803645461) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7409311305 + ... + 7409313087.

It is an arithmetic number, because the mean of its divisors is an integer number (98303662800).

Almost surely, 2^{13210803645468} 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 13210803645468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18874303257600).

13210803645468 is an abundant number, since it is smaller than the sum of its proper divisors (24537802869732).

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

13210803645468 is a wasteful number, since it uses less digits than its factorization.

13210803645468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2750 (or 2722 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 51.

The spelling of 13210803645468 in words is "thirteen trillion, two hundred ten billion, eight hundred three million, six hundred forty-five thousand, four hundred sixty-eight".