218249122840704 has 768 divisors, whose sum is σ = 709496275680000. Its totient is φ = 65814347612160.

The previous prime is 218249122840703. The next prime is 218249122840733. The reversal of 218249122840704 is 407048221942812.

218249122840704 is a `hidden beast` number, since 2 + 1 + 8 + 2 + 4 + 9 + 1 + 228 + 407 + 0 + 4 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (218249122840703) 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 95 ways as a sum of consecutive naturals, for example, 8412627157 + ... + 8412653099.

It is an arithmetic number, because the mean of its divisors is an integer number (923823275625).

Almost surely, 2^{218249122840704} is an apocalyptic number.

218249122840704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 218249122840704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354748137840000).

218249122840704 is an abundant number, since it is smaller than the sum of its proper divisors (491247152839296).

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

218249122840704 is a wasteful number, since it uses less digits than its factorization.

218249122840704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26194 (or 26145 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 218249122840704 in words is "two hundred eighteen trillion, two hundred forty-nine billion, one hundred twenty-two million, eight hundred forty thousand, seven hundred four".