13345357824 has 216 divisors, whose sum is σ = 40076421840. Its totient is φ = 4437835776.

The previous prime is 13345357813. The next prime is 13345357829. The reversal of 13345357824 is 42875354331.

13345357824 is a `hidden beast` number, since 1 + 3 + 3 + 4 + 53 + 578 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a self number, because there is not a number n which added to its sum of digits gives 13345357824.

It is not an unprimeable number, because it can be changed into a prime (13345357829) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31850287 + ... + 31850705.

It is an arithmetic number, because the mean of its divisors is an integer number (185538990).

Almost surely, 2^13345357824 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 13345357824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20038210920).

13345357824 is an abundant number, since it is smaller than the sum of its proper divisors (26731064016).

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

13345357824 is an frugal number, since it uses more digits than its factorization.

13345357824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 424 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 45.

The spelling of 13345357824 in words is "thirteen billion, three hundred forty-five million, three hundred fifty-seven thousand, eight hundred twenty-four".