218107821795264 has 672 divisors, whose sum is σ = 691553956853760. Its totient is φ = 65462324428800.

The previous prime is 218107821795257. The next prime is 218107821795373. The reversal of 218107821795264 is 462597128701812.

218107821795264 is a `hidden beast` number, since 2 + 1 + 8 + 1 + 0 + 78 + 217 + 95 + 264 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4311002352 + ... + 4311052944.

It is an arithmetic number, because the mean of its divisors is an integer number (1029098150080).

Almost surely, 2^{218107821795264} is an apocalyptic number.

218107821795264 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 218107821795264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345776978426880).

218107821795264 is an abundant number, since it is smaller than the sum of its proper divisors (473446135058496).

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

218107821795264 is a wasteful number, since it uses less digits than its factorization.

218107821795264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50889 (or 50876 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 63.

The spelling of 218107821795264 in words is "two hundred eighteen trillion, one hundred seven billion, eight hundred twenty-one million, seven hundred ninety-five thousand, two hundred sixty-four".