14106998880000 has 3600 divisors, whose sum is σ = 60834596897536. Its totient is φ = 3224862720000.

The previous prime is 14106998879923. The next prime is 14106998880049. The reversal of 14106998880000 is 8889960141.

14106998880000 is a `hidden beast` number, since 1 + 410 + 69 + 98 + 8 + 80 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3600).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 193246559964 + ... + 193246560036.

Almost surely, 2^{14106998880000} is an apocalyptic number.

14106998880000 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 14106998880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30417298448768).

14106998880000 is an abundant number, since it is smaller than the sum of its proper divisors (46727598017536).

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

14106998880000 is an equidigital number, since it uses as much as digits as its factorization.

14106998880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 54.

The spelling of 14106998880000 in words is "fourteen trillion, one hundred six billion, nine hundred ninety-eight million, eight hundred eighty thousand".