214673762241 has 15 divisors (see below), whose sum is σ = 320691726003. Its totient is φ = 143113061520.

The previous prime is 214673762231. The next prime is 214673762249. The reversal of 214673762241 is 142267376412.

The square root of 214673762241 is 463329.

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

214673762241 is a `hidden beast` number, since 2 + 14 + 6 + 7 + 3 + 7 + 622 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 48894496641 + 165779265600 = 221121^2 + 407160^2 .

It is a de Polignac number, because none of the positive numbers 2^k-214673762241 is a prime.

It is not an unprimeable number, because it can be changed into a prime (214673762249) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 4144221 + ... + 4195701.

Almost surely, 2^214673762241 is an apocalyptic number.

214673762241 is the 463329-th square number.

214673762241 is the 231665-th centered octagonal number.

It is an amenable number.

214673762241 is a deficient number, since it is larger than the sum of its proper divisors (106017963762).

214673762241 is an frugal number, since it uses more digits than its factorization.

214673762241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102974 (or 51484 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The spelling of 214673762241 in words is "two hundred fourteen billion, six hundred seventy-three million, seven hundred sixty-two thousand, two hundred forty-one".