13933867008000 has 512 divisors, whose sum is σ = 47027261698560. Its totient is φ = 3663134720000.

The previous prime is 13933867007969. The next prime is 13933867008001. The reversal of 13933867008000 is 80076833931.

It is a tau number, because it is divible by the number of its divisors (512).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13933867008001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 872440015 + ... + 872455985.

It is an arithmetic number, because the mean of its divisors is an integer number (91850120505).

Almost surely, 2^{13933867008000} is an apocalyptic number.

13933867008000 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 13933867008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23513630849280).

13933867008000 is an abundant number, since it is smaller than the sum of its proper divisors (33093394690560).

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

13933867008000 is an frugal number, since it uses more digits than its factorization.

13933867008000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16090 (or 16052 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The spelling of 13933867008000 in words is "thirteen trillion, nine hundred thirty-three billion, eight hundred sixty-seven million, eight thousand".