218412283716 has 243 divisors, whose sum is σ = 621686583063. Its totient is φ = 64605911040.

The previous prime is 218412283657. The next prime is 218412283721. The reversal of 218412283716 is 617382214812.

The square root of 218412283716 is 467346.

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

218412283716 is a `hidden beast` number, since 2 + 18 + 41 + 228 + 371 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 61685316 + 218350598400 = 7854^2 + 467280^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2251672980 + ... + 2251673076.

Almost surely, 2^218412283716 is an apocalyptic number.

218412283716 is the 467346-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 218412283716

218412283716 is an abundant number, since it is smaller than the sum of its proper divisors (403274299347).

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

218412283716 is a wasteful number, since it uses less digits than its factorization.

218412283716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 186 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The spelling of 218412283716 in words is "two hundred eighteen billion, four hundred twelve million, two hundred eighty-three thousand, seven hundred sixteen".