214104414213 has 40 divisors (see below), whose sum is σ = 324397259648. Its totient is φ = 140702412096.

The previous prime is 214104414143. The next prime is 214104414233. The reversal of 214104414213 is 312414401412.

214104414213 is a `hidden beast` number, since 2 + 1 + 4 + 1 + 0 + 441 + 4 + 213 = 666.

It is not a de Polignac number, because 214104414213 - 2¹⁶ = 214104348677 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214104414233) 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 39 ways as a sum of consecutive naturals, for example, 11740020 + ... + 11758242.

Almost surely, 2^214104414213 is an apocalyptic number.

It is an amenable number.

214104414213 is a deficient number, since it is larger than the sum of its proper divisors (110292845435).

214104414213 is a wasteful number, since it uses less digits than its factorization.

214104414213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20295 (or 20286 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 214104414213 its reverse (312414401412), we get a palindrome (526518815625).

The spelling of 214104414213 in words is "two hundred fourteen billion, one hundred four million, four hundred fourteen thousand, two hundred thirteen".