13983032043936 has 288 divisors, whose sum is σ = 42300662564160. Its totient is φ = 4369112690688.

The previous prime is 13983032043889. The next prime is 13983032043941. The reversal of 13983032043936 is 63934023038931.

13983032043936 is a `hidden beast` number, since 13 + 9 + 8 + 30 + 3 + 204 + 393 + 6 = 666.

13983032043936 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 (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 230116470 + ... + 230177226.

It is an arithmetic number, because the mean of its divisors is an integer number (146877300570).

Almost surely, 2^{13983032043936} is an apocalyptic number.

13983032043936 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 13983032043936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21150331282080).

13983032043936 is an abundant number, since it is smaller than the sum of its proper divisors (28317630520224).

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

13983032043936 is a wasteful number, since it uses less digits than its factorization.

13983032043936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61236 (or 61225 counting only the distinct ones).

The product of its (nonzero) digits is 7558272, while the sum is 54.

The spelling of 13983032043936 in words is "thirteen trillion, nine hundred eighty-three billion, thirty-two million, forty-three thousand, nine hundred thirty-six".