13793768352 has 288 divisors, whose sum is σ = 50820981120. Its totient is φ = 3446323200.

The previous prime is 13793768341. The next prime is 13793768369. The reversal of 13793768352 is 25386739731.

13793768352 is a `hidden beast` number, since 137 + 93 + 76 + 8 + 352 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 484102 + ... + 511802.

It is an arithmetic number, because the mean of its divisors is an integer number (176461740).

Almost surely, 2^13793768352 is an apocalyptic number.

13793768352 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 13793768352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25410490560).

13793768352 is an abundant number, since it is smaller than the sum of its proper divisors (37027212768).

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

13793768352 is a wasteful number, since it uses less digits than its factorization.

13793768352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27756 (or 27745 counting only the distinct ones).

The product of its digits is 5715360, while the sum is 54.

The spelling of 13793768352 in words is "thirteen billion, seven hundred ninety-three million, seven hundred sixty-eight thousand, three hundred fifty-two".