13678321536 has 384 divisors, whose sum is σ = 45505774080. Its totient is φ = 3902976000.

The previous prime is 13678321523. The next prime is 13678321541. The reversal of 13678321536 is 63512387631.

13678321536 is a `hidden beast` number, since 1 + 36 + 7 + 83 + 2 + 1 + 536 = 666.

13678321536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 13678321491 and 13678321500.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 20693046 + ... + 20693706.

It is an arithmetic number, because the mean of its divisors is an integer number (118504620).

Almost surely, 2^13678321536 is an apocalyptic number.

13678321536 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 13678321536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22752887040).

13678321536 is an abundant number, since it is smaller than the sum of its proper divisors (31827452544).

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

13678321536 is a wasteful number, since it uses less digits than its factorization.

13678321536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 771 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The spelling of 13678321536 in words is "thirteen billion, six hundred seventy-eight million, three hundred twenty-one thousand, five hundred thirty-six".