214509775104 has 81 divisors (see below), whose sum is σ = 618548669193. Its totient is φ = 71495847936.

The previous prime is 214509775033. The next prime is 214509775121. The reversal of 214509775104 is 401577905412.

The square root of 214509775104 is 463152.

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

214509775104 is a `hidden beast` number, since 2 + 1 + 45 + 0 + 97 + 7 + 510 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 22875957504 + 191633817600 = 151248^2 + 437760^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 214509775104.

It is an unprimeable number.

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, 22226472 + ... + 22236120.

Almost surely, 2^214509775104 is an apocalyptic number.

214509775104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

214509775104 is the 463152-nd square number.

It is an amenable number.

214509775104 is an abundant number, since it is smaller than the sum of its proper divisors (404038894089).

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

214509775104 is an frugal number, since it uses more digits than its factorization.

214509775104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19320 (or 9654 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 214509775104 in words is "two hundred fourteen billion, five hundred nine million, seven hundred seventy-five thousand, one hundred four".