218861701204608 has 2688 divisors, whose sum is σ = 872005854326400. Its totient is φ = 53067803443200.

The previous prime is 218861701204607. The next prime is 218861701204673. The reversal of 218861701204608 is 806402107168812.

218861701204608 is a `hidden beast` number, since 2 + 1 + 8 + 8 + 6 + 1 + 7 + 0 + 1 + 20 + 4 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a super-2 number, since 2×218861701204608² (a number of 29 digits) contains 22 as substring.

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 (218861701204607) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 200239433310 + ... + 200239434402.

Almost surely, 2^{218861701204608} is an apocalyptic number.

218861701204608 is a gapful number since it is divisible by the number (28) 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 218861701204608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436002927163200).

218861701204608 is an abundant number, since it is smaller than the sum of its proper divisors (653144153121792).

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

218861701204608 is a wasteful number, since it uses less digits than its factorization.

218861701204608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1234 (or 1176 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 218861701204608 in words is "two hundred eighteen trillion, eight hundred sixty-one billion, seven hundred one million, two hundred four thousand, six hundred eight".