13914135936 has 640 divisors, whose sum is σ = 47274796800. Its totient is φ = 4040036352.

The previous prime is 13914135923. The next prime is 13914135941. The reversal of 13914135936 is 63953141931.

13914135936 is a `hidden beast` number, since 1 + 39 + 14 + 13 + 593 + 6 = 666.

13914135936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13914135891 and 13914135900.

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 79 ways as a sum of consecutive naturals, for example, 167640151 + ... + 167640233.

It is an arithmetic number, because the mean of its divisors is an integer number (73866870).

Almost surely, 2^13914135936 is an apocalyptic number.

13914135936 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 13914135936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23637398400).

13914135936 is an abundant number, since it is smaller than the sum of its proper divisors (33360660864).

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

13914135936 is a wasteful number, since it uses less digits than its factorization.

13914135936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 167 counting only the distinct ones).

The product of its digits is 262440, while the sum is 45.

The spelling of 13914135936 in words is "thirteen billion, nine hundred fourteen million, one hundred thirty-five thousand, nine hundred thirty-six".