218016414261 has 12 divisors (see below), whose sum is σ = 331486945920. Its totient is φ = 137694577320.

The previous prime is 218016414257. The next prime is 218016414307. The reversal of 218016414261 is 162414610812.

218016414261 is a `hidden beast` number, since 2 + 1 + 8 + 0 + 1 + 641 + 4 + 2 + 6 + 1 = 666.

218016414261 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 218016414261 - 2² = 218016414257 is a prime.

It is a super-2 number, since 2×218016414261² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218016414221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 637474725 + ... + 637475066.

It is an arithmetic number, because the mean of its divisors is an integer number (27623912160).

Almost surely, 2^218016414261 is an apocalyptic number.

It is an amenable number.

218016414261 is a deficient number, since it is larger than the sum of its proper divisors (113470531659).

218016414261 is a wasteful number, since it uses less digits than its factorization.

218016414261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1274949816 (or 1274949813 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 218016414261 in words is "two hundred eighteen billion, sixteen million, four hundred fourteen thousand, two hundred sixty-one".