13913856000 has 960 divisors, whose sum is σ = 57509131680. Its totient is φ = 3317760000.

The previous prime is 13913855993. The next prime is 13913856007. The reversal of 13913856000 is 65831931.

It is a happy number.

13913856000 is a `hidden beast` number, since 1 + 3 + 91 + 3 + 8 + 560 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13913855993) and next prime (13913856007).

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13913856007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 228095970 + ... + 228096030.

Almost surely, 2^13913856000 is an apocalyptic number.

13913856000 is a gapful number since it is divisible by the number (10) 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 13913856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28754565840).

13913856000 is an abundant number, since it is smaller than the sum of its proper divisors (43595275680).

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

13913856000 is an equidigital number, since it uses as much as digits as its factorization.

13913856000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 13913856000 in words is "thirteen billion, nine hundred thirteen million, eight hundred fifty-six thousand".