218657712401 has 4 divisors (see below), whose sum is σ = 218674598400. Its totient is φ = 218640826404.

The previous prime is 218657712379. The next prime is 218657712419. The reversal of 218657712401 is 104217756812.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-218657712401 is a prime.

It is a super-2 number, since 2×218657712401² (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 (218657718401) 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 3 ways as a sum of consecutive naturals, for example, 8423561 + ... + 8449478.

It is an arithmetic number, because the mean of its divisors is an integer number (54668649600).

Almost surely, 2^218657712401 is an apocalyptic number.

It is an amenable number.

218657712401 is a deficient number, since it is larger than the sum of its proper divisors (16885999).

218657712401 is a wasteful number, since it uses less digits than its factorization.

218657712401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16885998.

The product of its (nonzero) digits is 188160, while the sum is 44.

The spelling of 218657712401 in words is "two hundred eighteen billion, six hundred fifty-seven million, seven hundred twelve thousand, four hundred one".