218415264496641 has 27 divisors (see below), whose sum is σ = 316924153448097. Its totient is φ = 144950654076840.

The previous prime is 218415264496607. The next prime is 218415264496643. The reversal of 218415264496641 is 146694462514812.

The square root of 218415264496641 is 14778879.

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

218415264496641 is a `hidden beast` number, since 2 + 1 + 8 + 4 + 1 + 526 + 4 + 4 + 9 + 66 + 41 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-218415264496641 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (218415264496643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9887059006 + ... + 9887081096.

Almost surely, 2^{218415264496641} is an apocalyptic number.

218415264496641 is the 14778879-th square number.

218415264496641 is the 7389440-th centered octagonal number.

It is an amenable number.

218415264496641 is a deficient number, since it is larger than the sum of its proper divisors (98508888951456).

218415264496641 is an frugal number, since it uses more digits than its factorization.

218415264496641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44634 (or 22317 counting only the distinct ones).

The product of its digits is 79626240, while the sum is 63.

The spelling of 218415264496641 in words is "two hundred eighteen trillion, four hundred fifteen billion, two hundred sixty-four million, four hundred ninety-six thousand, six hundred forty-one".