213463404441 has 63 divisors (see below), whose sum is σ = 360527883391. Its totient is φ = 121707419904.

The previous prime is 213463404439. The next prime is 213463404443. The reversal of 213463404441 is 144404364312.

The square root of 213463404441 is 462021.

It is a perfect power (a square), and thus also a powerful number.

213463404441 is a `hidden beast` number, since 2 + 13 + 4 + 634 + 0 + 4 + 4 + 4 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (213463404439) and next prime (213463404443).

It can be written as a sum of positive squares in only one way, i.e., 130450270041 + 83013134400 = 361179^2 + 288120^2 .

It is a tau number, because it is divible by the number of its divisors (63).

It is not a de Polignac number, because 213463404441 - 2¹ = 213463404439 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 213463404396 and 213463404405.

It is not an unprimeable number, because it can be changed into a prime (213463404443) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 475419385 + ... + 475419833.

Almost surely, 2^213463404441 is an apocalyptic number.

213463404441 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

213463404441 is the 462021-st square number.

213463404441 is the 231011-st centered octagonal number.

It is an amenable number.

213463404441 is a deficient number, since it is larger than the sum of its proper divisors (147064478950).

213463404441 is an frugal number, since it uses more digits than its factorization.

213463404441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Multiplying 213463404441 by its sum of digits (36), we get a square (7684682559876 = 2772126²).

Adding to 213463404441 its reverse (144404364312), we get a palindrome (357867768753).

The spelling of 213463404441 in words is "two hundred thirteen billion, four hundred sixty-three million, four hundred four thousand, four hundred forty-one".