218528380305 has 16 divisors (see below), whose sum is σ = 388494898560. Its totient is φ = 116548469424.

The previous prime is 218528380303. The next prime is 218528380331. The reversal of 218528380305 is 503083825812.

218528380305 is a `hidden beast` number, since 2 + 18 + 528 + 3 + 80 + 30 + 5 = 666.

218528380305 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 218528380305 - 2¹ = 218528380303 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (218528380303) 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 15 ways as a sum of consecutive naturals, for example, 809364237 + ... + 809364506.

It is an arithmetic number, because the mean of its divisors is an integer number (24280931160).

Almost surely, 2^218528380305 is an apocalyptic number.

It is an amenable number.

218528380305 is a deficient number, since it is larger than the sum of its proper divisors (169966518255).

218528380305 is a wasteful number, since it uses less digits than its factorization.

218528380305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1618728757 (or 1618728751 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 218528380305 in words is "two hundred eighteen billion, five hundred twenty-eight million, three hundred eighty thousand, three hundred five".