214352142541 has 16 divisors (see below), whose sum is σ = 217657924848. Its totient is φ = 211071744000.

The previous prime is 214352142527. The next prime is 214352142581. The reversal of 214352142541 is 145241253412.

It can be written as a sum of positive squares in 8 ways, for example, as 41667015625 + 172685126916 = 204125^2 + 415554^2 .

It is a cyclic number.

It is not a de Polignac number, because 214352142541 - 2¹⁵ = 214352109773 is a prime.

It is a super-4 number, since 4×214352142541⁴ (a number of 46 digits) contains 4444 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 214352142497 and 214352142506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214352142581) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22045561 + ... + 22055281.

It is an arithmetic number, because the mean of its divisors is an integer number (13603620303).

Almost surely, 2^214352142541 is an apocalyptic number.

It is an amenable number.

214352142541 is a deficient number, since it is larger than the sum of its proper divisors (3305782307).

214352142541 is a wasteful number, since it uses less digits than its factorization.

214352142541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10992.

The product of its digits is 38400, while the sum is 34.

Adding to 214352142541 its reverse (145241253412), we get a palindrome (359593395953).

The spelling of 214352142541 in words is "two hundred fourteen billion, three hundred fifty-two million, one hundred forty-two thousand, five hundred forty-one".