214105666041 has 48 divisors (see below), whose sum is σ = 324507487680. Its totient is φ = 139518529920.

The previous prime is 214105666037. The next prime is 214105666043. The reversal of 214105666041 is 140666501412.

It is not a de Polignac number, because 214105666041 - 2² = 214105666037 is a prime.

It is a super-2 number, since 2×214105666041² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 214105665987 and 214105666005.

It is not an unprimeable number, because it can be changed into a prime (214105666043) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57911505 + ... + 57915201.

It is an arithmetic number, because the mean of its divisors is an integer number (6760572660).

Almost surely, 2^214105666041 is an apocalyptic number.

It is an amenable number.

214105666041 is a deficient number, since it is larger than the sum of its proper divisors (110401821639).

214105666041 is an equidigital number, since it uses as much as digits as its factorization.

214105666041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4771 (or 4718 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 214105666041 in words is "two hundred fourteen billion, one hundred five million, six hundred sixty-six thousand, forty-one".