214083386541 has 12 divisors (see below), whose sum is σ = 309252761532. Its totient is φ = 142712471616.

The previous prime is 214083386519. The next prime is 214083386551. The reversal of 214083386541 is 145683380412.

214083386541 is a `hidden beast` number, since 2 + 140 + 83 + 386 + 54 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 103054482441 + 111028904100 = 321021^2 + 333210^2 .

It is not a de Polignac number, because 214083386541 - 2⁹ = 214083386029 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214083386551) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 675696 + ... + 940601.

It is an arithmetic number, because the mean of its divisors is an integer number (25771063461).

Almost surely, 2^214083386541 is an apocalyptic number.

It is an amenable number.

214083386541 is a deficient number, since it is larger than the sum of its proper divisors (95169374991).

214083386541 is a wasteful number, since it uses less digits than its factorization.

214083386541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1631020 (or 1631017 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 214083386541 in words is "two hundred fourteen billion, eighty-three million, three hundred eighty-six thousand, five hundred forty-one".