214735852816 has 15 divisors (see below), whose sum is σ = 416054306181. Its totient is φ = 107366999616.

The previous prime is 214735852813. The next prime is 214735852819. The reversal of 214735852816 is 618258537412.

The square root of 214735852816 is 463396.

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

It is an interprime number because it is at equal distance from previous prime (214735852813) and next prime (214735852819).

It can be written as a sum of positive squares in only one way, i.e., 175055212816 + 39680640000 = 418396^2 + 199200^2 .

It is a super-2 number, since 2×214735852816² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (214735852813) 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 2 ways as a sum of consecutive naturals, for example, 1795660 + ... + 1911508.

Almost surely, 2^214735852816 is an apocalyptic number.

214735852816 is the 463396-th square number.

It is an amenable number.

214735852816 is a deficient number, since it is larger than the sum of its proper divisors (201318453365).

214735852816 is an frugal number, since it uses more digits than its factorization.

214735852816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231706 (or 115851 counting only the distinct ones).

The product of its digits is 3225600, while the sum is 52.

The spelling of 214735852816 in words is "two hundred fourteen billion, seven hundred thirty-five million, eight hundred fifty-two thousand, eight hundred sixteen".