220385588418 has 18 divisors (see below), whose sum is σ = 477506423667. Its totient is φ = 73461198900.

The previous prime is 220385588413. The next prime is 220385588473. The reversal of 220385588418 is 814885583022.

220385588418 is a `hidden beast` number, since 2 + 2 + 0 + 3 + 8 + 558 + 84 + 1 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 110192794209 + 110192794209 = 331953^2 + 331953^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=331953.

It is not an unprimeable number, because it can be changed into a prime (220385588411) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 1936393 + ... + 2047043.

Almost surely, 2^220385588418 is an apocalyptic number.

220385588418 is an abundant number, since it is smaller than the sum of its proper divisors (257120835249).

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

220385588418 is an frugal number, since it uses more digits than its factorization.

220385588418 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221310 (or 110656 counting only the distinct ones).

The product of its (nonzero) digits is 4915200, while the sum is 54.

The spelling of 220385588418 in words is "two hundred twenty billion, three hundred eighty-five million, five hundred eighty-eight thousand, four hundred eighteen".