13874208768 has 560 divisors, whose sum is σ = 49479281280. Its totient is φ = 3790209024.

The previous prime is 13874208767. The next prime is 13874208791. The reversal of 13874208768 is 86780247831.

It is a happy number.

13874208768 is a `hidden beast` number, since 1 + 3 + 87 + 420 + 87 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (13874208763) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 134701005 + ... + 134701107.

Almost surely, 2^13874208768 is an apocalyptic number.

13874208768 is a gapful number since it is divisible by the number (18) 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 13874208768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24739640640).

13874208768 is an abundant number, since it is smaller than the sum of its proper divisors (35605072512).

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

13874208768 is an equidigital number, since it uses as much as digits as its factorization.

13874208768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 13874208768 in words is "thirteen billion, eight hundred seventy-four million, two hundred eight thousand, seven hundred sixty-eight".