214063528900 has 81 divisors (see below), whose sum is σ = 503139998151. Its totient is φ = 79016633280.

The previous prime is 214063528859. The next prime is 214063528933. The reversal of 214063528900 is 9825360412.

The square root of 214063528900 is 462670.

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

It can be written as a sum of positive squares in 4 ways, for example, as 55175191236 + 158888337664 = 234894^2 + 398608^2 .

It is a super-2 number, since 2×214063528900² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 60145321 + ... + 60148879.

Almost surely, 2^214063528900 is an apocalyptic number.

214063528900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

214063528900 is the 462670-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214063528900

214063528900 is an abundant number, since it is smaller than the sum of its proper divisors (289076469251).

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

214063528900 is an equidigital number, since it uses as much as digits as its factorization.

214063528900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7158 (or 3579 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The spelling of 214063528900 in words is "two hundred fourteen billion, sixty-three million, five hundred twenty-eight thousand, nine hundred".