214505333316 has 18 divisors (see below), whose sum is σ = 542221814862. Its totient is φ = 71501777760.

The previous prime is 214505333269. The next prime is 214505333323. The reversal of 214505333316 is 613333505412.

214505333316 is a `hidden beast` number, since 2 + 1 + 4 + 5 + 0 + 5 + 333 + 316 = 666.

It can be written as a sum of positive squares in only one way, i.e., 164954573316 + 49550760000 = 406146^2 + 222600^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 5958481481 = 214505333316 / (2 + 1 + 4 + 5 + 0 + 5 + 3 + 3 + 3 + 3 + 1 + 6).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2979240705 + ... + 2979240776.

It is an arithmetic number, because the mean of its divisors is an integer number (30123434159).

Almost surely, 2^214505333316 is an apocalyptic number.

It is an amenable number.

214505333316 is an abundant number, since it is smaller than the sum of its proper divisors (327716481546).

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

214505333316 is a wasteful number, since it uses less digits than its factorization.

214505333316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5958481491 (or 5958481486 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

Adding to 214505333316 its reverse (613333505412), we get a palindrome (827838838728).

The spelling of 214505333316 in words is "two hundred fourteen billion, five hundred five million, three hundred thirty-three thousand, three hundred sixteen".