13981248000 has 960 divisors, whose sum is σ = 55766430720. Its totient is φ = 3483648000.

The previous prime is 13981247989. The next prime is 13981248023. The reversal of 13981248000 is 84218931.

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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 451007985 + ... + 451008015.

It is an arithmetic number, because the mean of its divisors is an integer number (58090032).

Almost surely, 2^13981248000 is an apocalyptic number.

13981248000 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 13981248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27883215360).

13981248000 is an abundant number, since it is smaller than the sum of its proper divisors (41785182720).

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

13981248000 is an frugal number, since it uses more digits than its factorization.

13981248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 13981248000 in words is "thirteen billion, nine hundred eighty-one million, two hundred forty-eight thousand".