13860658656 has 192 divisors, whose sum is σ = 43631058240. Its totient is φ = 4255580160.

The previous prime is 13860658627. The next prime is 13860658661. The reversal of 13860658656 is 65685606831.

13860658656 is a `hidden beast` number, since 1 + 3 + 8 + 6 + 0 + 6 + 586 + 56 = 666.

13860658656 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 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 31 ways as a sum of consecutive naturals, for example, 6659536 + ... + 6661616.

It is an arithmetic number, because the mean of its divisors is an integer number (227245095).

Almost surely, 2^13860658656 is an apocalyptic number.

13860658656 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 13860658656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21815529120).

13860658656 is an abundant number, since it is smaller than the sum of its proper divisors (29770399584).

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

13860658656 is a wasteful number, since it uses less digits than its factorization.

13860658656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2706 (or 2692 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 13860658656 in words is "thirteen billion, eight hundred sixty million, six hundred fifty-eight thousand, six hundred fifty-six".