14083468800000 has 1248 divisors, whose sum is σ = 50166664128000. Its totient is φ = 3503554560000.

The previous prime is 14083468799969. The next prime is 14083468800013. The reversal of 14083468800000 is 886438041.

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, 70771199901 + ... + 70771200099.

Almost surely, 2^{14083468800000} is an apocalyptic number.

14083468800000 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 14083468800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25083332064000).

14083468800000 is an abundant number, since it is smaller than the sum of its proper divisors (36083195328000).

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

14083468800000 is an frugal number, since it uses more digits than its factorization.

14083468800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The spelling of 14083468800000 in words is "fourteen trillion, eighty-three billion, four hundred sixty-eight million, eight hundred thousand".