14084667996000 has 768 divisors, whose sum is σ = 53867881267200. Its totient is φ = 3215842560000.

The previous prime is 14084667995917. The next prime is 14084667996013. The reversal of 14084667996000 is 69976648041.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6672034945 + ... + 6672037055.

It is an arithmetic number, because the mean of its divisors is an integer number (70140470400).

Almost surely, 2^{14084667996000} is an apocalyptic number.

14084667996000 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 14084667996000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26933940633600).

14084667996000 is an abundant number, since it is smaller than the sum of its proper divisors (39783213271200).

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

14084667996000 is a wasteful number, since it uses less digits than its factorization.

14084667996000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3781 (or 3749 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 60.

The spelling of 14084667996000 in words is "fourteen trillion, eighty-four billion, six hundred sixty-seven million, nine hundred ninety-six thousand".