13751108241696 has 480 divisors, whose sum is σ = 47144827699200. Its totient is φ = 3850935105024.

The previous prime is 13751108241623. The next prime is 13751108241697. The reversal of 13751108241696 is 69614280115731.

13751108241696 is a `hidden beast` number, since 1 + 3 + 7 + 51 + 10 + 82 + 416 + 96 = 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 (13751108241697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 191219955 + ... + 191291853.

It is an arithmetic number, because the mean of its divisors is an integer number (98218391040).

It is a 2-persistent number, because it is pandigital, and so is 2⋅13751108241696 = 27502216483392, but 3⋅13751108241696 = 41253324725088 is not.

Almost surely, 2^{13751108241696} is an apocalyptic number.

13751108241696 is a gapful number since it is divisible by the number (16) 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 13751108241696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23572413849600).

13751108241696 is an abundant number, since it is smaller than the sum of its proper divisors (33393719457504).

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

13751108241696 is a wasteful number, since it uses less digits than its factorization.

13751108241696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72138 (or 72121 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 13751108241696 in words is "thirteen trillion, seven hundred fifty-one billion, one hundred eight million, two hundred forty-one thousand, six hundred ninety-six".