13395965352 has 192 divisors, whose sum is σ = 44736883200. Its totient is φ = 3296280960.

The previous prime is 13395965351. The next prime is 13395965357. The reversal of 13395965352 is 25356959331.

It is a junction number, because it is equal to n+sod(n) for n = 13395965295 and 13395965304.

It is not an unprimeable number, because it can be changed into a prime (13395965351) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 218533 + ... + 273035.

It is an arithmetic number, because the mean of its divisors is an integer number (233004600).

Almost surely, 2^13395965352 is an apocalyptic number.

13395965352 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 13395965352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22368441600).

13395965352 is an abundant number, since it is smaller than the sum of its proper divisors (31340917848).

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

13395965352 is a wasteful number, since it uses less digits than its factorization.

13395965352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54556 (or 54545 counting only the distinct ones).

The product of its digits is 3280500, while the sum is 51.

The spelling of 13395965352 in words is "thirteen billion, three hundred ninety-five million, nine hundred sixty-five thousand, three hundred fifty-two".