218092736016 has 45 divisors (see below), whose sum is σ = 610372438221. Its totient is φ = 72695710656.

The previous prime is 218092736011. The next prime is 218092736063. The reversal of 218092736016 is 610637290812.

The square root of 218092736016 is 467004.

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

218092736016 is a `hidden beast` number, since 2 + 18 + 0 + 9 + 27 + 3 + 601 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 24056010000 + 194036726016 = 155100^2 + 440496^2 .

It is not an unprimeable number, because it can be changed into a prime (218092736011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5584590 + ... + 5623506.

Almost surely, 2^218092736016 is an apocalyptic number.

218092736016 is the 467004-th square number.

It is an amenable number.

218092736016 is an abundant number, since it is smaller than the sum of its proper divisors (392279702205).

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

218092736016 is an frugal number, since it uses more digits than its factorization.

218092736016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77848 (or 38922 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 218092736016 in words is "two hundred eighteen billion, ninety-two million, seven hundred thirty-six thousand, sixteen".