214443001301000 has 128 divisors (see below), whose sum is σ = 518002632576000. Its totient is φ = 83007145728000.

The previous prime is 214443001300967. The next prime is 214443001301041. The reversal of 214443001301000 is 103100344412.

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 31 ways as a sum of consecutive naturals, for example, 961477496 + ... + 961700504.

It is an arithmetic number, because the mean of its divisors is an integer number (4046895567000).

Almost surely, 2^{214443001301000} is an apocalyptic number.

214443001301000 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 214443001301000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259001316288000).

214443001301000 is an abundant number, since it is smaller than the sum of its proper divisors (303559631275000).

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

214443001301000 is a wasteful number, since it uses less digits than its factorization.

214443001301000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254080 (or 254066 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 214443001301000 its reverse (103100344412), we get a palindrome (214546101645412).

The spelling of 214443001301000 in words is "two hundred fourteen trillion, four hundred forty-three billion, one million, three hundred one thousand".