214221311505 has 24 divisors (see below), whose sum is σ = 371532830760. Its totient is φ = 114184938240.

The previous prime is 214221311503. The next prime is 214221311539. The reversal of 214221311505 is 505113122412.

It is a happy number.

214221311505 is a `hidden beast` number, since 2 + 1 + 4 + 22 + 131 + 1 + 505 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 43552350864 + 170668960641 = 208692^2 + 413121^2 .

It is not a de Polignac number, because 214221311505 - 2¹ = 214221311503 is a prime.

It is not an unprimeable number, because it can be changed into a prime (214221311501) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1305610 + ... + 1460499.

It is an arithmetic number, because the mean of its divisors is an integer number (15480534615).

Almost surely, 2^214221311505 is an apocalyptic number.

It is an amenable number.

214221311505 is a deficient number, since it is larger than the sum of its proper divisors (157311519255).

214221311505 is a wasteful number, since it uses less digits than its factorization.

214221311505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2767841 (or 2767838 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 214221311505 its reverse (505113122412), we get a palindrome (719334433917).

The spelling of 214221311505 in words is "two hundred fourteen billion, two hundred twenty-one million, three hundred eleven thousand, five hundred five".