218563090434 has 48 divisors (see below), whose sum is σ = 512650704384. Its totient is φ = 66898072800.

The previous prime is 218563090411. The next prime is 218563090451. The reversal of 218563090434 is 434090365812.

218563090434 is a `hidden beast` number, since 2 + 1 + 8 + 5 + 630 + 9 + 0 + 4 + 3 + 4 = 666.

It is a super-3 number, since 3×218563090434³ (a number of 35 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 218563090434.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2400412 + ... + 2489799.

It is an arithmetic number, because the mean of its divisors is an integer number (10680223008).

Almost surely, 2^218563090434 is an apocalyptic number.

218563090434 is an abundant number, since it is smaller than the sum of its proper divisors (294087613950).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

218563090434 is a wasteful number, since it uses less digits than its factorization.

218563090434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4890423 (or 4890420 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 218563090434 in words is "two hundred eighteen billion, five hundred sixty-three million, ninety thousand, four hundred thirty-four".