13865945856 has 576 divisors, whose sum is σ = 47721676800. Its totient is φ = 3483648000.

The previous prime is 13865945833. The next prime is 13865945861. The reversal of 13865945856 is 65854956831.

Its product of digits (31104000) is a multiple of the sum of its prime factors (256).

It is a self number, because there is not a number n which added to its sum of digits gives 13865945856.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 91827381 + ... + 91827531.

Almost surely, 2^13865945856 is an apocalyptic number.

13865945856 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 13865945856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23860838400).

13865945856 is an abundant number, since it is smaller than the sum of its proper divisors (33855730944).

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

13865945856 is a wasteful number, since it uses less digits than its factorization.

13865945856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 242 counting only the distinct ones).

The product of its digits is 31104000, while the sum is 60.

The spelling of 13865945856 in words is "thirteen billion, eight hundred sixty-five million, nine hundred forty-five thousand, eight hundred fifty-six".