13966848000 has 624 divisors, whose sum is σ = 57674600256. Its totient is φ = 3185049600.

The previous prime is 13966847953. The next prime is 13966848011. The reversal of 13966848000 is 84866931.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32255784 + ... + 32256216.

It is an arithmetic number, because the mean of its divisors is an integer number (92427244).

Almost surely, 2^13966848000 is an apocalyptic number.

13966848000 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 13966848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28837300128).

13966848000 is an abundant number, since it is smaller than the sum of its proper divisors (43707752256).

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

13966848000 is an equidigital number, since it uses as much as digits as its factorization.

13966848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 13966848000 in words is "thirteen billion, nine hundred sixty-six million, eight hundred forty-eight thousand".