13917661056 has 400 divisors, whose sum is σ = 45824858640. Its totient is φ = 4191243264.

The previous prime is 13917661049. The next prime is 13917661057. The reversal of 13917661056 is 65016671931.

13917661056 is a `hidden beast` number, since 13 + 9 + 17 + 6 + 610 + 5 + 6 = 666.

13917661056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13917661057) 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 49 ways as a sum of consecutive naturals, for example, 296120425 + ... + 296120471.

Almost surely, 2^13917661056 is an apocalyptic number.

13917661056 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 13917661056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22912429320).

13917661056 is an abundant number, since it is smaller than the sum of its proper divisors (31907197584).

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

13917661056 is an frugal number, since it uses more digits than its factorization.

13917661056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 13917661056 in words is "thirteen billion, nine hundred seventeen million, six hundred sixty-one thousand, fifty-six".