218051138767 has 48 divisors (see below), whose sum is σ = 281120716800. Its totient is φ = 165493627200.

The previous prime is 218051138761. The next prime is 218051138771. The reversal of 218051138767 is 767831150812.

It is not a de Polignac number, because 218051138767 - 2³ = 218051138759 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 218051138767.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218051138761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5427042 + ... + 5467072.

It is an arithmetic number, because the mean of its divisors is an integer number (5856681600).

Almost surely, 2^218051138767 is an apocalyptic number.

218051138767 is a deficient number, since it is larger than the sum of its proper divisors (63069578033).

218051138767 is a wasteful number, since it uses less digits than its factorization.

218051138767 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40228 (or 40217 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 49.

The spelling of 218051138767 in words is "two hundred eighteen billion, fifty-one million, one hundred thirty-eight thousand, seven hundred sixty-seven".