214131526461 has 48 divisors (see below), whose sum is σ = 320536148400. Its totient is φ = 137643577344.

The previous prime is 214131526421. The next prime is 214131526471. The reversal of 214131526461 is 164625131412.

214131526461 is a `hidden beast` number, since 2 + 1 + 4 + 1 + 3 + 1 + 5 + 2 + 646 + 1 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4688003961 + 209443522500 = 68469^2 + 457650^2 .

It is not a de Polignac number, because 214131526461 - 2⁷ = 214131526333 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214131526421) 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, 20332045 + ... + 20342573.

It is an arithmetic number, because the mean of its divisors is an integer number (6677836425).

Almost surely, 2^214131526461 is an apocalyptic number.

It is an amenable number.

214131526461 is a deficient number, since it is larger than the sum of its proper divisors (106404621939).

214131526461 is a wasteful number, since it uses less digits than its factorization.

214131526461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11118 (or 11115 counting only the distinct ones).

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

Adding to 214131526461 its reverse (164625131412), we get a palindrome (378756657873).

The spelling of 214131526461 in words is "two hundred fourteen billion, one hundred thirty-one million, five hundred twenty-six thousand, four hundred sixty-one".