214001341344 has 72 divisors (see below), whose sum is σ = 695504365920. Its totient is φ = 61143239808.

The previous prime is 214001341343. The next prime is 214001341373. The reversal of 214001341344 is 443143100412.

214001341344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (214001341343) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 53073714 + ... + 53077745.

It is an arithmetic number, because the mean of its divisors is an integer number (9659782860).

Almost surely, 2^214001341344 is an apocalyptic number.

214001341344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

214001341344 is an abundant number, since it is smaller than the sum of its proper divisors (481503024576).

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

214001341344 is a wasteful number, since it uses less digits than its factorization.

214001341344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106151482 (or 106151471 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 214001341344 its reverse (443143100412), we get a palindrome (657144441756).

The spelling of 214001341344 in words is "two hundred fourteen billion, one million, three hundred forty-one thousand, three hundred forty-four".