13681498752 has 224 divisors, whose sum is σ = 41178468960. Its totient is φ = 4525632000.

The previous prime is 13681498717. The next prime is 13681498759. The reversal of 13681498752 is 25789418631.

13681498752 is a `hidden beast` number, since 1 + 3 + 6 + 81 + 498 + 75 + 2 = 666.

13681498752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (13681498759) 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 27 ways as a sum of consecutive naturals, for example, 14089627 + ... + 14090597.

Almost surely, 2^13681498752 is an apocalyptic number.

13681498752 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 13681498752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20589234480).

13681498752 is an abundant number, since it is smaller than the sum of its proper divisors (27496970208).

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

13681498752 is an frugal number, since it uses more digits than its factorization.

13681498752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154 (or 1127 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The spelling of 13681498752 in words is "thirteen billion, six hundred eighty-one million, four hundred ninety-eight thousand, seven hundred fifty-two".