218190801466089 has 81 divisors (see below), whose sum is σ = 345979335221559. Its totient is φ = 132473592754560.

The previous prime is 218190801466039. The next prime is 218190801466091. The reversal of 218190801466089 is 980664108091812.

The square root of 218190801466089 is 14771283.

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

218190801466089 is a `hidden beast` number, since 2 + 1 + 8 + 1 + 9 + 0 + 8 + 0 + 14 + 6 + 608 + 9 = 666.

218190801466089 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 169871731245225 + 48319070220864 = 13033485^2 + 6951192^2 .

It is not a de Polignac number, because 218190801466089 - 2³¹ = 218188653982441 is a prime.

It is not an unprimeable number, because it can be changed into a prime (218190801466039) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 23353393752 + ... + 23353403094.

Almost surely, 2^{218190801466089} is an apocalyptic number.

218190801466089 is the 14771283-rd square number.

218190801466089 is the 7385642-nd centered octagonal number.

It is an amenable number.

218190801466089 is a deficient number, since it is larger than the sum of its proper divisors (127788533755470).

218190801466089 is an frugal number, since it uses more digits than its factorization.

218190801466089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18788 (or 9394 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 63.

The spelling of 218190801466089 in words is "two hundred eighteen trillion, one hundred ninety billion, eight hundred one million, four hundred sixty-six thousand, eighty-nine".