218854616761 has 27 divisors (see below), whose sum is σ = 244403102629. Its totient is φ = 195829033400.

The previous prime is 218854616759. The next prime is 218854616801. The reversal of 218854616761 is 167616458812.

The square root of 218854616761 is 467819.

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

It is not a de Polignac number, because 218854616761 - 2¹ = 218854616759 is a prime.

It is a super-2 number, since 2×218854616761² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (218854616861) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 365366340 + ... + 365366938.

Almost surely, 2^218854616761 is an apocalyptic number.

218854616761 is the 467819-th square number.

218854616761 is the 233910-th centered octagonal number.

It is an amenable number.

218854616761 is a deficient number, since it is larger than the sum of its proper divisors (25548485868).

218854616761 is an frugal number, since it uses more digits than its factorization.

218854616761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1362 (or 681 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 55.

The spelling of 218854616761 in words is "two hundred eighteen billion, eight hundred fifty-four million, six hundred sixteen thousand, seven hundred sixty-one".