214014320100000 has 1440 divisors, whose sum is σ = 905994640881792. Its totient is φ = 48542457600000.

The previous prime is 214014320099947. The next prime is 214014320100073. The reversal of 214014320100000 is 1023410412.

214014320100000 is a `hidden beast` number, since 21 + 401 + 43 + 201 + 0 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 7427685594 + ... + 7427714406.

Almost surely, 2^{214014320100000} is an apocalyptic number.

214014320100000 is a gapful number since it is divisible by the number (20) 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 214014320100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452997320440896).

214014320100000 is an abundant number, since it is smaller than the sum of its proper divisors (691980320781792).

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

214014320100000 is an equidigital number, since it uses as much as digits as its factorization.

214014320100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28998 (or 28961 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 214014320100000 its reverse (1023410412), we get a palindrome (214015343510412).

The spelling of 214014320100000 in words is "two hundred fourteen trillion, fourteen billion, three hundred twenty million, one hundred thousand".