13068836352 has 480 divisors, whose sum is σ = 45868210080. Its totient is φ = 3649536000.

The previous prime is 13068836351. The next prime is 13068836381. The reversal of 13068836352 is 25363886031.

13068836352 is a `hidden beast` number, since 1 + 3 + 0 + 6 + 8 + 8 + 3 + 635 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13068836298 and 13068836307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13068836351) 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, 21744852 + ... + 21745452.

It is an arithmetic number, because the mean of its divisors is an integer number (95558771).

Almost surely, 2^13068836352 is an apocalyptic number.

13068836352 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 13068836352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22934105040).

13068836352 is an abundant number, since it is smaller than the sum of its proper divisors (32799373728).

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

13068836352 is a wasteful number, since it uses less digits than its factorization.

13068836352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

It can be divided in two parts, 13068 and 836352, that multiplied together give a square (10929447936 = 104544²).

The spelling of 13068836352 in words is "thirteen billion, sixty-eight million, eight hundred thirty-six thousand, three hundred fifty-two".