214020403414344 has 48 divisors (see below), whose sum is σ = 581084075433420. Its totient is φ = 71162228889600.

The previous prime is 214020403414333. The next prime is 214020403414397. The reversal of 214020403414344 is 443414304020412.

214020403414344 is a `hidden beast` number, since 2 + 1 + 4 + 0 + 204 + 0 + 3 + 414 + 34 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 157187953401444 + 56832450012900 = 12537462^2 + 7538730^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 214020403414299 and 214020403414308.

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 11 ways as a sum of consecutive naturals, for example, 3706337217 + ... + 3706394960.

Almost surely, 2^{214020403414344} is an apocalyptic number.

214020403414344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

214020403414344 is an abundant number, since it is smaller than the sum of its proper divisors (367063672019076).

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

214020403414344 is a wasteful number, since it uses less digits than its factorization.

214020403414344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7412732590 (or 7412732583 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 214020403414344 its reverse (443414304020412), we get a palindrome (657434707434756).

The spelling of 214020403414344 in words is "two hundred fourteen trillion, twenty billion, four hundred three million, four hundred fourteen thousand, three hundred forty-four".