13786848000 has 576 divisors, whose sum is σ = 51770759040. Its totient is φ = 3657830400.

The previous prime is 13786847993. The next prime is 13786848013. The reversal of 13786848000 is 84868731.

It is a tau number, because it is divible by the number of its divisors (576).

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

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, 69983902 + ... + 69984098.

It is an arithmetic number, because the mean of its divisors is an integer number (89879790).

Almost surely, 2^13786848000 is an apocalyptic number.

13786848000 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 13786848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25885379520).

13786848000 is an abundant number, since it is smaller than the sum of its proper divisors (37983911040).

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

13786848000 is an frugal number, since it uses more digits than its factorization.

13786848000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 13786848000 in words is "thirteen billion, seven hundred eighty-six million, eight hundred forty-eight thousand".